Question

Tim and Nikko bought new computers. Tim spent $55 more than 2/3 of the amount that Nikko spent for his computer. The total amount that Tim and Nikko spent for their computers was $2,870. How much did Nikko spend for his computer?

A. $1,181.00
B. $1,407.50
C. $1,689.00
D. $1,755.00

Answer 1

C. $1,689.00

Explanation:

Let the amount spent by Tim be x and the amount spent by Nikko be y

If Tim spent $55 more than 2/3 of the amount that Nikko spent for his computer, then amount spent by Tim will be x = 55+2/3 y

Since the total amount that Tim and Nikko spent for their computers was $2,870 then;

x+y = $2,870

Substituting x = 55+2/3y into the equation above, we will have;

55+2y/3 + y = 2,870

(165 + 2y)/3 + y = 2,870

(165 + 2y+3y)/3 = 2,870

cross multiply

165 + 2y+3y = 3*2870

165+5y = 8610

5y = 8610-165

5y = 8445

y = 8445/5

y = 1689

Hence Nikko spent a sum of $1,689.00 on his computer.