Question

You have a budget for repair work as $\$$67 where the labor charges are fixed at cost of $\$$32. If the cost of 1 paint can is $\$\frac{9}{2}$, find the maximum number of cans that can be bought with this budget.

• A. 6
• B. 7
• C. 8
• D. 9

Answer 1

The correct option is B 7

Given:
Total budget = $\$$67
Fixed charges = $\$$32
Let the number of paint cans bought be x.

So,

$32+\left(\frac{9}{2}\right)x\le 67$

$⟹\left(\frac{9}{2}\right)x\le 67-32$

$⟹\left(\frac{9}{2}\right)x\le 35$

$⟹x\le \left(\frac{35\times 2}{9}\right)$

$⟹x\le \left(\frac{70}{9}\right)$

$⟹x\le \left(7\frac{7}{9}\right)$

$\therefore$ The maximum number of cans that can be bought with this budget is 7.