50% of Shannon's amount was $1050 less than Ben's amount. When Shannon spent 30% of her amount and Ben spent 60% of his amount, they had the same amount of amount left. Find the amount that Ben had at first.

	Shannon	Ben
Before	20 u	35 u
Change	- 6 u	- 21 u
After	14 u	14 u

Percentage of Shannon's amount left
= 100% - 30%
= 70%

Percentage of Ben's amount left
= 100% - 60%
= 40%

70% = ⁷⁰₁₀₀ = ⁷₁₀
40% = ⁴⁰₁₀₀ = ²₅

The amounts of amount that Shannon and Ben had left were the same. Make the numerators the same.

⁷₁₀ of Shannon's amount = ²₅ of Ben's amount
¹⁴₂₀ of Shannon's amount = ¹⁴₃₅ of Ben's amount

Amount that Shannon had = 20 u

50% of the amount that Shannon had
= 50% x 20 u
= ⁵⁰₁₀₀ x 20 u
= 10 u

Difference between Ben's amount and 50% of Shannon's amount
= 35 u - 10 u
= 25 u

25 u = 1050

1 u = 1050 ÷ 25 = 42

Amount that Ben had at first
= 35 u
= 35 x 42
= $1470

Answer(s): $1470