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1 year ago

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Capucine played a game where she earned 179 points from building 11 museums and 4 libraries. She earns 4 more points per museum

than per library. How many points does Capucine earn for each thing she builds?

1 answer:

Korolek [52]1 year ago

5 0

Capucine played a game where she earned 179 points from building 11 museums and 4 libraries.

Lets assume x points she earn per library

She earns 4 more points for museum than library.

4 more points per museum per x . so the points earned per museum is x+4

she earned 179 points from 11 museums and 4 libraries.

So the equation becomes

$11 (x+4) + 4x = 179$

$11x +44 + 4x = 179$

$15x + 44 = 179$ ( subtract 44 from both sides)

$15x= 135$ (divide by 15 from both sides)

x = 9

She earns 9 points per library

We know points per museum = x+4 = 9+4 = 13

She earns 13 points per museum .

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1. See Explanation

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Required

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<u>Interpretation 1:</u> Number of groups if there are 5 students in each

<u>Interpretation 2:</u> Number of students in each group if there are 5 groups

<u>Solving the quotient</u>

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<u>For Interpretation 2:</u>

The quotient means: 12 students

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$7\frac{1}{2} / 2$

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Apply commutative law of addition:

$2 * ? = 7\frac{1}{2}$ --- This is another equivalent expression

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