Question

Solve and compare for x and y:

11.5x + 72 = 210
8.3y + 29 = 195

• A. x < y
• B. x > y
• C. x = y
• D. Cannot be determined

Answer 1

The correct option is A x < y

Given:
11.5x + 72 = 210 ----- (i)
8.3y + 29 = 195 -------(ii)

Solving (i):
11.5x + 72 = 210
$⟹$ 11.5x = 210 -72
$⟹$ 11.5x = 138
$⟹$ x = $\frac{138}{11.5}$
$⟹$ x = 12

Similarly,
Solving (ii)
8.3y + 29 = 195
$⟹$ 8.3y = 195 - 29
$⟹$ 8.3y = 166
$⟹$ y = $\frac{166}{8.3}$
$⟹$ y = 20

Hence,
x < y