Penelope had $375 less than Michael. Michael spent 0.6 of his money and Penelope spent 0.3 of her money. In the end, Michael and Penelope had the same amount of money left. Find the amount of money Penelope had at first.

	Penelope	Michael	Difference
Before	20 u	35 u	15 u
Change	- 2 u	- 7 u
After	14 u	14 u

0.6 = ³₅

Fraction of Michael's amount left
= 1 - ³₅
= ²₅

0.3 = ³₁₀

Fraction of Penelope's amount left
= 1 - ³₁₀
= ⁷₁₀

The amount that Michael and Penelope each had in the end is the same. Make the numerators the same. LCM of 2 and 7 is 14.

²₅ of Michael's amount = ⁷₁₀ of Penelope's amount
¹⁴₃₅ of Michael's amount = ¹⁴₂₀ of Penelope's amount

Amount that Penelope had less than Michael
= 35 u - 20 u
= 15 u

15 u = 375

1 u = 375 ÷ 15 = 25

Amount that Penelope had at first
= 20 u
= 20 x 25
= $500

Answer(s): $500