SOLUTION: (Can someone please help me with this question?) A woman bought some large frames for $16 each and some small frames for $7 each at a closeout sale. If she bought 20 frames for $1

Algebra ->  Linear-equations -> SOLUTION: (Can someone please help me with this question?) A woman bought some large frames for $16 each and some small frames for $7 each at a closeout sale. If she bought 20 frames for $1      Log On


   



Question 843646: (Can someone please help me with this question?)
A woman bought some large frames for $16 each and some small frames for $7 each at a closeout sale. If she bought 20 frames for $176, find how many of each type she bought?
She bought ___ large frames?
She bought ___ small frames?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A woman bought some large frames for $16 each and some small frames for $7 each at a closeout sale.
If she bought 20 frames for $176, find how many of each type she bought?
:
Let a = no. of large frames bought
let b = no. of small frames
:
Write one equation for the total no. of frames
Write another equation for total $amt spent
a + b = 20
b = (20-a), use this form for substitution
and
16a + 7b = 176
replace b with (20-a)
16a + 7(20-a) = 176
16a + 140 - 7a = 176
16a - 7a = 176 - 140
9a = 36
a = 36/9
a = 4 large frames bought
:
You can find no. of small frames, use the equation
b = 20-a
:
Check the solutions in the total amt spent equation