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If X = hours worked after school

If Y = hours worked Saturday

X + Y = 12

4X + 5Y= 52.5

so we can re-arrange equation 1 to have

X = 12 - Y

if we substitute that into equation 2

4(12-Y) + 5Y = 52.5

48 - 4Y + 5Y = 52.5

Y= 4.5 and X = 7.5

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