Question

The table below shows the number of different types of faucets sold over three months and the total selling price of the items.

Number of Faucets Sold and Total Selling Price

Kitchen Sink
Bathroom Sink
Shower
Total Selling Price
January
15
8
7
$2,830
February
17
12
8
$3,450
March
24
25
21
$6,680

The company makes a profit of 15% on every faucet sold. What is the profit on one shower faucet?
$12.00
$13.50
$14.15
$18.00

Answer 1

this table is a bit confusing but I think I know how you're supposed to solve it

for each month:

(kitchen sink price) * (number of kitchen sinks) + (bathroom sink price) * (number of bathroom sinks) + (shower faucet price)(number of shower faucets) = total selling price

for January:

15k + 8b + 7s = 2830

for February:

17k + 12b + 8s = 3450

for March:

24k + 25b + 21s = 6680

three equations, three unknowns. solve for s, then calculate 15% of s to see what the profit is in $