A small business sells dog harness and leashes. The harnesses sell for $7.50, and the leashes sell for $3.25. Last month, the business sold 56 items made $267
![A small business sells dog harness and leashes The harnesses sell for 750 and the leashes sell for 325 Last month the business sold 56 items made 267 class=](https://us-static.z-dn.net/files/dcf/9acc24649772bfd042217aac25e81848.png)
Answer:
20 harnesses
36 leashes
Step-by-step explanation:
h = number of harnesses
l = number of leashes
set up two equations based on the information provided:
h + l = 56; since the number of harnesses and leashes made up the total item sold, which is 56
7.5h + 3.25l = 267; the same concept as the last step
h = 56 - l; let one of the variable stand by itself
7.5(56 - l) + 3.25l = 267; substitute the variable h into the other equation
420 - 7.5l + 3.25l = 267; solve
420 - 4.25l = 267; add common variables, remember you take the sign in front of the number when doing math
-4.25l = -153; subtract 420 from both side
l = 36; divide both side by -4.25
36 leashes were sold last month; 56 - 36 = 20, which means 20 harnesses were sold.