Question

An auto repair business is placing an order based on the price list below. They order twice as many headlights as they do batteries, and twice as many spark plugs as they do headlights. If they order a combined total of 56 items, what is the total cost of the order?

Batteries: $43.00 each
Headlights: $62.00 each
Spark Plugs: $3.50 each

Answer 1

$1448

Explanation:

Let the number of batteries be x

there are twice as many headlights as batteries

⇒ number of headlights = 2x

there are twice as many spark plugs as headlights

⇒ number of spark plugs = 2(2x) = 4x

Total number of items is 56

⇒ x + 2x + 4x = 56

⇒ 7x = 56

⇒ x = 56/7

⇒ x = 8

Total cost : 43(x) + 62(2x) + 3.50(4x)

= 43(8) + 62(16) + 3.50(32)

= 1448