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KIM [24]
3 years ago
12

Katherine and Crystal do landscaping. They recently earned $1472 for a project. If Katherine earned $5 for every $3 earned by Cr

ystal, how much of the money went to each?
Mathematics
1 answer:
Degger [83]3 years ago
4 0

Answer:

Katherine: 920

Crystal: 552

Step-by-step explanation:

The total amount earned by each is 1472

The ratio of the earnings is Katherine / Crustal = 5/3

The total number of shares = 5 + 3 = 8

So the proportion for Katherine

5/8 = x / 1472                Cross multiply

8x = 5 * 1472

8x = 7360

x = 7360/8

x = 920

And the proportion for Crystal is

3/8 = x / 1472                 Cross multiply

8x = 3 * 1472

8x = 4416

x = 4416 / 8

x =  552

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<u></u>

  • <u>No. You would have to cut the number of veggie burgers in more than half.</u>

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<u>1. Model the situation with a system of equations</u>

<u />

<u>a) Name the variables:</u>

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  • number of veggie burgers: v

<u />

<u>b) Number of burgers:</u>

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<u />

<u>c) Cost of the 50 burgers:</u>

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<u>2. Solve that system of equations:</u>

<u />

<u>a) System</u>

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<u>b) Mutliply the first equation by 2 and subtract the second equation</u>

  • 100 = 2t + 2v
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  • 10 = 0.5v
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