small frames ($8): s
large frames ($15): L
Cost: 8s + 15L = 239 ⇒ 1(8s + 15L = 239) ⇒ 8s + 15L = 239
Quantity: s + L = 22 ⇒ -8( s + L = 22) ⇒ -8s -8 L = -176
7L = 63
L = 9
Quantity: s + L = 22 ⇒ s + (9) = 22 ⇒ s = 13
Answer: 13 small frames, 9 Large frames
Answer:
9 large frames and 13 small frames
Step-by-step explanation:
Then number of each type can be found simultaneously by interpreting the given statements into equations. As such, if the number of the large frames and small frames purchased are a and b respectively. if she bought 22 frames then,
a + b = 22
Furthermore, if Karen karlin bought some large frames for $15 each and some small frames for $8 each at a closeout sale for $239 then
15a + 8b = 239
solving both simultaneously,
b = 22 - a
15a + 8(22 - a) = 239
15a -8a + 176 = 239
7a = 239 - 176
7a = 63
a = 9
b = 22 - 9
= 13
