SOLUTION: on friday, the with-it clothiers sold some jeans at $25 a pair and some shirts at $18 each. Receipts for the day totaled $441. On saturday the store pricedboth items at $20 sold ex
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Question 495665: on friday, the with-it clothiers sold some jeans at $25 a pair and some shirts at $18 each. Receipts for the day totaled $441. On saturday the store pricedboth items at $20 sold exactly the same number of each item, and had receopts of $420. How many pairs of jeans and how many shirts were sold each day?
Answer by cleomenius(959) (Show Source): You can put this solution on YOUR website!
I set up simultaneous equations
25x + 18y = 441
20x + 20y = 420
========================================
I multiplied the first equation by -20
I multiplied the second equation by 25
-500x + -360y = -8820
500x + 500y = 10500
---------------------
140y = 1680
y = 12
===========================================
Plugging in y, I solved for x.
25x + 18(12) = 441
25x + 216 = 441
25x = 225 = 9
x = 9
===================================================
Now I checked in the second equation.
20(9) = $180
20(12) = $240
180 + 240 = $420
===================================================
Checking in the first equation.
25(9) = $225
18(12) = $216
$225 + $216 = $441
=================================================
This does check.
Cleomenius.
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