A cabinet shop produces two types of custom-made cabinets for a customer. If the fancy cabinet costs 5 times as much as the standard cabinet, and if the total price for both cabinets is $7,350, how much does each cabinet cost?
A) $5,880.00 and $1,470.00
B) $6,125.00 and $1,225.00
C) $3,675.00 and $3,675.00
D) $4,900.00 and $1,225.00
E) $6,300.00 and $1,050.00

Question

Quizplus · Accepted Answer

Let x be the cost of the standard cabinet. Then the cost of the fancy cabinet is 5x. The total cost is $7,350, so we have the equation x + 5x = 7,350. Simplifying this gives 6x = 7,350, so x = $1,225. Therefore, the cost of the standard cabinet is $1,225 and the cost of the fancy cabinet is 5x = $6,125. So the answer is B.

A Cabinet Shop Produces Two Types of Custom-Made Cabinets for a Customer