To create the ideal blend, the merchant should combine 40 pounds of coffee worth $3.00 per pound and 160 pounds of coffee worth $3.25 per pound.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Let's call the amount of coffee worth $3.00 per pound "x" and the amount of coffee worth $3.25 per pound "y".
We know that the total amount of coffee is 200 pounds, so we can write the equation:
x + y = 200
We also know that the total cost of the coffee is $3.20 per pound times 200 pounds, or $640. So we can write another equation based on the cost:
3.00x + 3.25y = 640
Now we have two equations with two variables, so we can solve for x and y.
Let's start by solving for x in the first equation:
x + y = 200
x = 200 - y
Now we can substitute this expression for x into the second equation:
3.00x + 3.25y = 640
3.00(200 - y) + 3.25y = 640
600 - 3.00y + 3.25y = 640
0.25y = 40
y = 160
So we know that the merchant needs to use 160 pounds of coffee worth $3.25 per pound.
We can use the first equation to solve for x:
x + y = 200
x = 40
So the merchant needs to use 40 pounds of coffee worth $3.00 per pound.
Therefore, the merchant should use 40 pounds of coffee worth $3.00 per pound and 160 pounds of coffee worth $3.25 per pound to make the desired blend.
Learn more about ratios here:
https://brainly.com/question/13419413
#SPJ2
My number has 2 hundreds. The tens digit is 9 more than the ones digit
a gym membership costs $30 to join and $ 12 each month. write and use an algebraic expression to find the cost of the gym membership fo 6 months
The length of a rectangle is 8 more than the width. The area is 825 square inches. Find the length and width of the rectangle
Let width be x then
Length is x+8
Therefore area which is given by L*W will be
Area=x*(x=8)
But area =825 sq inches
x*(x+8)=825
x^2+8x-825=0
we use quadratic formula to solve this
and get our x=25 therefore
our width is 25
and length is 33
A and b thank you on 92
determine if this triangle is acute, obtuse, right, or impossible
John and peter shared $280 in the ratio 7:3 . How much money did John receive than peter? Plz help!!!
How do u solve- if 3 onions way 0.75 pounds how much do 10 Onions weigh.
Pizza World has a specialty cheese pizza that can be cut into 10 slices, and they have a specialty pepperoni pizza that can be cut into 16 slices. If Pizza World serves combos of one slice of cheese and one slice of pepperoni pizza with no slices left over, what is the smallest number of combos that Pizza World can prepare?
The smallest number of combos that Pizza World can prepare with one slice of cheese and one slice of pepperoni pizza with no slices left over is 80.
The student is asking how many combos of one slice of cheese and one slice of pepperoni pizza Pizza World can prepare with no slices left over given that a cheese pizza has 10 slices and a pepperoni pizza 16 slices. This question is looking for the least common multiple (LCM) of two numbers, which is the smallest number that is a multiple of both numbers. To find the LCM of 10 and 16, we list the multiples of each number until we find a common multiple. The multiples of 10 are 10, 20, 30, 40, 50, 60, ... and the multiples of 16 are 16, 32, 48, 64, 80, .... The smallest common multiple of 10 and 16 is 80. Therefore, we can prepare 80 combos using 8 cheese pizzas (because 8 x 10 = 80) and 5 pepperoni pizzas (because 5 x 16 = 80).
what is 1.18 repeating as a fraction
Can someone help me pls ?
PLZZZ HELP. LOOK IN THE PICTURE BELOW TO ANSWER MY QUESTION.
an item is purchased for a wholesale price of $48 and will be sold at a 55 percent markup. which expression should be used to find the amount of the markup
Answer:
$48(0.55)
Step-by-step explanation:
Amber has a 4/5 pound bag of colored sand, she uses 1/2 of the bag for an art protect. How much sand does she uses for the protect?
Solve the system of equations: 12x + 6y = 60 and 3y = -6x + 30
a) (10,0)
b) (0,10)
c) Infinite Solutions
d) No solutions
can someone tell me the scientific notation for this?
Find the y-intercept of the line:
2x + 4y = 8
Question 5 options:
a) (2,4)
b) (0,2)
c) (4,0)
d) (4,2)
Which best describe the meaning of this function notation ? Cost(weight
A. The weight is greater than the cost.
B. The weight depends on the cost
C.The cost depends on the weight
D.The cost is multiplied by the weight
the music for Alyssa's dance routine last exactly 4 min. when she dances her routine, she starts with her music and finishes 12 seconds before the music ends. what percent of the time the music is playing is Alyssa dancing.
Rebecca ran 12 1/4 miles in 2 1/2 hours. What was your average speed in miles per hour
Factor out the coefficient of the variable.
The expression 38d+34 factored is
The highest common factor of 38 and 34 is 2. Dividing both coefficients by 2 gives us 19d and 17. Therefore, the factored expression of 38d + 34 is 2(19d + 17).
Explanation:Factoring out the coefficient of a variable in the expression 38d + 34 involves finding a number that divides both coefficients exactly. The highest common factor (HCF) of 38 and 34 is 2. So, we divide 38 and 34 by 2 to get 19d and 17 respectively.
Therefore, the expression, when factored out, becomes 2(19d + 17). This means that the expression 38d + 34 can thus be factored into 2 times the expression (19d + 17).
Learn more about Factoring coefficients here:https://brainly.com/question/28801135
#SPJ12
2/5 ab
What are the factors of the expression?
Drag all of the factors of the expression into the box.
please help me :D
the points are 50
the answer is 2/5, a, b
Something weighed 3/4 ton how many pounds did this thing weigh
163water bottles in 9 cases=
Solve 5(y - 4) = 7(2y + 1)
the sum of two consecutive even integers is -298. What are the integers?
Answer: -148, -150
n + n + 2 = -298
2n = -300
n = -150
Read the proposition and the implication shown below. "If the lights are off, there is no one inside." Which statement is a contrapositive to the proposition and logically equivalent to it?
The contrapositive of the proposition 'If the lights are off, then there is no one inside' is 'If there is someone inside, then the lights are not off'. Contrapositives are formed by negating and interchanging the hypothesis and conclusion of a conditional statement, and is a key concept in mathematics.
Explanation:In logic, the contrapositive of a conditional statement is formed by negating both the hypothesis and the conclusion, and then interchanging the resulting negations. So, the contrapositive of the given proposition 'If the lights are off, then there is no one inside' would be 'If there is someone inside, then the lights are not off'.
This implies that, in the context of this statement, if we know that there is someone inside, we can deduce that the lights must not be off as per the contrapositive. Thus, contrapositives are a helpful way to understand conditional statements from another perspective, and are an integral concept in logic and mathematics.
Learn more about Contrapositive here:https://brainly.com/question/35417442
#SPJ11
Fanga ran 28 miles per in 4 hours She ran at a rate of how many miles per hour
A ticket agency charges 9.5% fee on all tickets sold .if a ticket cost 40$ what is the fee
Which equation demonstrates the distributive property? A) 20 + 36 = 56 B) 20 x 36 = 36 x 20 C) 20 + 36 = 4(5 + 9) Eliminate D) (5 + 9)4 = 4(5 + 9)
what is the value of w in the equation w-5.5=-3.4
w-5.5 = -3.4
add 5.5 to each side
w = -3.4 + 5.5 = 5.5-3.4 = 2.1
w = 2.1