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irina1246 [14]
3 years ago
13

Small juice boxes come in packages of 6. Yogurt treats come in packages of 10. Paula wants to have the exact same number of each

item. How many bottles of juice and individual yogurt treats will she have altogether? How many packages of each will she need?
Mathematics
1 answer:
erastovalidia [21]3 years ago
8 0

if she buys 10 of the small juice box packages and six of the yogurt treat packages then she should have an even number of both. That would be 60 of each.

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Larger number:<br> Smaller number:
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Let:

Larger number = x

Smaller number = y

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x + y = 49

x - y = 21

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Isolate the x in the first equation. Subtract y from both sides

x + y (-y) = 49 (-y)

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Now that we know what x is, plug in 49 - y (which = x) into x in the other equation.

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Next, divide -2 from both sides to isolate the y

-2y/-2 = -28/-2

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y = 14

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Now that we know what y is, plug into one of the equations.

x + y = 49

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Isolate the x. Subtract 14 from both sides

x + 14 (-14) = 49 (-14)

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Simplify

x = 35

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Answer:

Larger number: 35

Smaller number: 14

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