Question

A woman bought some large frames for $14 each and some small trames for S7 each at a closeout sale. If she bought 25 frames for $231, find how many of each type she bought.

She bought _____large frames.
And small?

Answer 1

the answer to this question is 9

Answer 2

Answer: HOPE THIS HELPS!!!

Explanation:

Let a = number of large frames she bought

Let b = number of small frames she bought

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(1) a+B+=27

(2) 14a+7b=245

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There are 2 equations and 2 unknowns

so it's solvable

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Multiply both sides of (1) by 7

and subtract (1) from (2)

(2) 14a+7b=245

(1) -7a-7b=-189

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7a=56

a=8

and

(1) a+2B=27

(1) 8+b=27

(1) b=19

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She bought 8 large frames and 19 small frames

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check:

(2) 14+7b=245

(2) 14*8+7*19=245

(2) 112+133+=245

(2) 245=245