30% of Mark's savings was $60 more than 40% of Henry's savings. After Mark spent ¹₁₀ of his savings and Henry spent 40% of his savings, Henry had $351 less than Mark. How much was Henry's saving at first?

	Henry	Mark
Before	15 u	20 u + 200
Change	- 6 u	- 2 u - 20
After	9 u	18 u + 180
Comparing Henry and Mark in the end		351 more

30% = ³⁰₁₀₀ = ³₁₀

40% = ⁴⁰₁₀₀ = ²₅

³₁₀ Mark = ²₅ Henry + 60 

Make the numerators the same. LCM of 3 and 2 is 6.
 
3x210x2 Mark = 2x35x3 Henry + 60 
620 Mark = 615 Henry + 60 

Simplify the fractions.
¹₂₀ Mark = ¹₁₅ Henry + 10

Let ¹₁₅ Henry be 1 u.

Henry's savings at first = 15 u

¹₂₀ Mark = ¹₁₅ Henry + 10
Let ¹₂₀ Mark be 1 u + 10.

Mark's savings at first
= 20 x (1 u + 10) 
= 20 u + 200

Savings that Henry spent
= 40% x 15 u
= ⁴⁰₁₀₀ x 15 u
= 6 u

Savings that Mark spent 
= ¹₁₀ x (20 u + 200)
= 2 u + 20 

Henry had $351 less than Mark in the end. If another $351 was given to Henry, the amount that each had in the end would be the same.

18 u + 180 = 9 u + 351 
18 u - 9 u = 351 - 180
9 u = 171

1 u = 171 ÷ 9 = 19

Savings that Henry had at first
= 15 u 
= 15 x 19
= $285

Answer(s): $285