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26 May, 06:12

Olivia has $180 to buy presents for her 3 sisters and 2 nephews. She wants to spend $15 more on each sister than she spends on each nephew. How much does she spend on each sister?

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  1. 26 May, 06:16
    0
    So

    if x is the number she spent on each sister and y is the number she spent on each nephew then

    180=3x+2y

    she wants to spend 15 dollars more on sisters than nephews

    so

    x=15+y

    solve

    we have

    180=3x+2y and

    x=15+y

    subsitute 15+y for x

    180=3 (15+y) + 2y

    180=45+3y+2y

    180=45+5y

    minus 45 both sides

    135=5y

    divide both sides by 5

    27=y

    solve for x

    x=15+y

    x=15+27

    x=42

    she spent $42 on each sister
  2. 26 May, 06:21
    0
    3 (x + 15) + 2x = 180

    3x + 45 + 2x = 180

    3x + 2x = 180 - 45

    5x = 135

    x = 135/5

    x = 27

    27 + 15 = 42 ... on each sister <==

    27 for each nephew
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