SOLUTION: A woman bought large frames for $10 and small frames for $5 each at a sale. If she bought 11 frames for $70 how many of each frame did she buy?

Algebra.Com
Question 1051163: A woman bought large frames for $10 and small frames for $5 each at a sale. If she bought 11 frames for $70 how many of each frame did she buy?
Answer by Tatiana_Stebko(1539)   (Show Source): You can put this solution on YOUR website!
Let x be the number of large frames,
y be the number of small frames,
Since she bought 11 frames, then
Woman spent $ on all large frames and $ on small frames

The system of equations is

Divide the second equation by 5

Substitute into the second equation



Substitute into the first equation


Womann bought 3 large and 8 small frames
Answer: 3 large and 8 small frames

RELATED QUESTIONS

A woman bought some large frames for$11 each and some small frames for $7 each at a... (answered by Edwin McCravy)
a woman bought some large frames for $14 each and some small frames for $7 each at a... (answered by josmiceli)
A woman bought some large frames for ​$17 each and some small frames for ​$8... (answered by Boreal)
A woman bought some large frames for ​$17 each and some small frames for ​$4... (answered by ikleyn)
A woman bought some large frames for ​$13 each and some small frames for ​$7... (answered by josmiceli)
(Can someone please help me with this question?) A woman bought some large frames for... (answered by ankor@dixie-net.com)
A woman bought some large frames for ​$17 each and some small frames for ​$7... (answered by addingup)
A woman bought some large frames for $16each and some small frames for $4ech at close out (answered by ikleyn)
Kim bought some large frames for $13 each and some small frames for $9 each at a closeout (answered by solver91311)