147k views
17 votes
A woman bought some large frames for $19 each and some small frames for $9 each at a closeout sale. If she bought 18 frames for $222, find how many of each type she bought.

User K P
by
7.7k points

1 Answer

8 votes

Answer: 6 large frames and 12 small frames

Explanation:

We define the following:

x = number of large frames

y = number of small frames

Make the following equations:

x + y = 18

19x + 9y = 222

Use system of equations to solve. We find the value of x first.

y = 18 - x

⇒ 19x + 9(18 - x) = 222

⇒ 19x + 162 - 9x = 222

⇒ 10x + 162 = 222

⇒ 10x = 60

⇒ x = 6

Find value of y:

6 + y = 18

y = 12

∴ 6 large frames and 12 small frames were purchased.

User Arunrk
by
7.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories