Mathematics, 10.08.2021 22:40 briseidam6683

A candy store owner wants to mix some candy costing $1.25 a pound with some candy costing $1.45 a pound to make 50 pounds of candy
costing $1.30 a pound. How much of the $1.25 a pound candy should
she use?

Answers: 1

Show answers

Answers

Answer from: maves8

The candy store owner should use 37.5 pounds of the candy costing $1.25 a pound.

Given:

Candy costing $1.25 a pound is to be mixed with candy costing $1.45 a poundThe resulting mixture should be 50 pounds of candyThe resulting mixture should cost $1.30 a pound

To find: The amount of candy costing $1.25 a pound that should be mixed

Let us assume that the resulting mixture should be made by mixing 'x' pounds of candy costing $1.25 a pound.

Since the total weight of the resulting mixture should be 50 pounds, 'x' pounds of candy costing $1.25 a pound should be mixed with ' 50-x ' pounds of candy costing $1.45 a pound.

Then, the resulting mixture contains 'x' pounds of candy costing $1.25 a pound and ' 50-x ' pounds of candy costing $1.45 a pound.

Accordingly, the total cost of the resulting mixture is 1.25x+1.45(50-x)

However, the resulting mixture should be 50 pounds and should cost $1.30 a pound. Accordingly, the total cost of the resulting mixture is $1.30 \times 50$

Equating the total cost of the resulting mixture obtained in two ways, we get,

$1.25x+1.45(50-x)=1.30 \times 50$

1.25x+72.5-1.45x=65

0.2x=7.5

$x=\frac{7.5}{0.2}$

x=37.5

This implies that the resulting mixture should be made by mixing 37.5 pounds of candy costing $1.25 a pound.

Learn more about cost of mixtures here:

Answer from: leannaadrian

When the candy costs $\bold{\$1.25}$ a pound, the candy store owner must use $\bold{37.5}$ pounds. $\bold{\$1.25}$ per-pound candy is to be blended with $\bold{\$1.45}$ per-pound candy.There must be $\bold{50\ pounds}$ of candy in the mixture So, the $\bold{\$1.30}$ per-pound ought to be the cost of a final mixture.This is the amount of $\bold{\$1.25}$ candy per pound which should be blended when 'x' pounds of candy cost $\bold{\$1.25}$ a pound, therefore the resultant combination must be constructed by joining 'x' pounds of candy together.The x pounds of candy costing $\bold{\$1.25}$ per pound must be combined with " $\bold{50-x}$ " pounds of candy costing $\bold{\$1.45}$ per pound because the total weight of its final mixture must be $\bold{50\ pounds}$ .Later, 'x' pounds of candy costing $\bold{\$1.25}$ per-pound is mixed with ' $\bold{50-x}$ ' pounds of candy costing $\bold{\$1.45}$ per pound to achieve the desired mixture. As a result, the overall total cost of the final mixture is: $\to \bold{1.25x+1.45(50-x)}$ A 50-pound batch of a mixture will cost $\bold{\$1.30}$ per pound, and As an outcome, your total cost of the resulting mixture is $\bold{1.30 \times 50}$ .It might calculate the overall cost of the resulting mixture by multiplying it by two.

$\to \bold{ 1.25x+1.45(50-x)= 1.30 \times 50}\\\\ \to \bold{ 1.25x+72.5-1.45x= 65}\\\\ \to \bold{ -0.2x= -7.5}\\\\ \to \bold{ x=\frac{7.5}{0.2}}\\\\ \to \bold{ x=37.5}\\\\$

It implies that $\bold{37.5\ pounds}$ of candy at $\bold{\$1.25}$ a pound must be used to make the final concoction.

Learn more:

Answer from: Quest

$450.00 for 6 weeks

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300

Answer from: Quest

1e+27

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 14:30

Can somebody me out with this question

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

Sara has been reading about different types of financial grants, including federal pell grants, academic competitiveness grants, smart grants, and teach grants. which statement about these grants is true? filling out a fafsa will not her apply for these grants. she will not have to pay back any funds she receives from these grants. these grants only go to students with less than a 3.0 gpa. she will have to pay back all the funds she receives from these grants.

Answers: 2

Answer

Mathematics, 21.06.2019 22:30

Which one is the correct answer, and why?

Answers: 1

Answer

Mathematics, 22.06.2019 00:30

What should be done to both sides of the equation in order to solve -5m = -40? a) multiply by -5. b) divide by -5. c) multiply by -40. d) divide by -40.

Answers: 2

Answer

You know the right answer?

A candy store owner wants to mix some candy costing $1.25 a pound with some candy costing $1.45 a p...

Questions