SOLUTION: Jacob made two trips to the store. On his first trip to the store, he bought x kitchen towels for $3 each and y dishcloths for $2 each and spent a total of $32. On his second trip

Question 1133759: Jacob made two trips to the store. On his first trip to the store, he bought x kitchen towels for $3 each and y dishcloths for $2 each and spent a total of $32. On his second trip to the store, he bought x kitchen towels for $5 each and returned the y dishcloths he bought on the first trip. He was refunded the money for the dishcloths and still spent $32. The system of equations shown below represents the amounts, in dollars, he spent on the two trips to the store.
How many kitchen towels and dishcloths did Jacob buy on his first trip to the store?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
first equation is 3x + 2y = 32
second equation is 5x - 2y = 32
add the two equations together to get 8x = 64
solve for x to get x = 64 / 8 = 8
replace x with 8 in the first equation to get 24 + 2y = 32
solve for y to get y = 8/2 = 4
you have x = 8 and y = 2
first equation becomes 24 + 8 = 32
second equation becomes 40 - 8 = 32
solution checks out ok.
solution is x = 8 and y = 2 which means he bought 8 kitchen towels and 2 dishcloths on his first trip.
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