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hammer [34]
3 years ago
15

Chance has hired a construction crew to renovate his kitchen. They charge $3.55 per square foot for materials and $121.26 per da

y of labor. Chance spent $2,450.24 on the renovation. If the number of square feet is 198 more than the number of days it took for the renovation, how long did the renovation take? A. 14 days B. 12 days C. 3 days D. 17 days
Mathematics
1 answer:
Fantom [35]3 years ago
3 0

The renovation took 14 days ⇒ answer A

Step-by-step explanation:

Chance has hired a construction crew to renovate his kitchen

  • They charge $3.55 per square foot for materials
  • They charge $121.26 per day of labor
  • Chance spent $2,450.24 on the renovation
  • The number of square feet is 198 more than the number of days it took for the renovation

We need to find for how long the renovation took

Assume that the renovation took x days

∵ The renovation took x days

∵ The number of square feet is 198 more than the number of days

∴ The number of square feet = x + 198

∵ They charge $3.55 per square foot

∵ They charge $121.26 per day of labor

∴ The cost of renovation = 3.55(x + 198) + 121.26(x)

- Simplify the expression

∴ The cost of renovation = 3.55 x + 702.9 + 121.26 x

- Add like terms

∴ The cost of renovation = 124.81 x + 702.9

∵ Chance spent $2,450.24 on the renovation

- Equate the cost of renovation by the money that Chance spent

 on the renovation

∴ 124.81 x + 702.9 = 2,450.24

- Subtract 702.9 from both sides

∴ 124.81 x = 1,747.34

- Divide both sides by 124.81

∴ x = 14

The renovation took 14 days

Learn more:

You can learn more about word problems in brainly.com/question/10557938

#LearnwithBrainly

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a. There are 933 chocolate bars

b. There are 1200 chocolate bars

c. There are 1580 chocolate bars

<h3>How to calculate the number of chocolate bars</h3>

Since there are 5 different flavors,

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Since the different flavors are always produced in the same proportions, for every 4 coconut flavored bars 5 honeycomb 6 orange 1 coffee and 4 strawberry

So, the ratio of their proportions are x:y:z:a:b = 6:4:2:1:5

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Since we have 6 orange flavored bars, the ratio of orange flavored bars to total is 6/20

So, the amount of orange flavored bars is x = 6/20 × X

Making X subject of the formula, we have

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Making X subject of the formula, we have

X = 20z

So, if there are 79 coffee flavored bars, there will be

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X = 20 × 79

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