Question

Bradley is thinking about three numbers. The first # is 3 less than 8/5 of the second #, and the second # is 5/16 of the third number. If the third # is 2/3x-12, express the first number in terms of x?

Answer 1

A = x/3 - 9

Explanation:

Call the numbers A, B, C, in that order.

A = 8/5 B - 3

B = 5/16 × C

C = 2/3 x - 12

B = 5/16 × (2/3 x - 12)

A = 8/5[5/16 × (2/3 x - 12)] - 3

A = 8/5[10/48 x - 60/16] - 3

A = 8/5[5/24 x - 15/4] - 3

A = (x/3 - 6) - 3

A = x/3 - 9