Question

Glasses and a spectacle case together cost $108.80, The spectacle case costs 40% less than the glasses much does the spectacle case cost?

A)$40.80
B)$43.52
C)$65.28
D)$68.00

Answer 1

a) 40.80

Explanation:

let s = the cost spectacle clase

let g = the cost glasses

g + s = 108.80

s = .6g Substitute 06g for s in the first equation

g + .6g = 108.80 Combine like terms

1.6g = 108.80 Divide both sides by 1.6

g = 68.00

The glasses cost $68

g + s = 108.80 Substitute 68 for g to find s

68 + s = 108.80 Subtract 62 from both sides

s = 40.80

Check

g + s = 108.80

68 + 40.80 = 108.80 Checks

.6 x 68 = 40.8 If it is 40% off that means that 60% has remained.