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A sports apparel supplier offers teams the option of purchasing extra apparel for players. A volleyball team purchases 15 jackets and 12 pairs of sweatpants for $348. A basketball team purchases 8 jackets and 8 pairs of sweatpants for $200. Let x represent the price of a jacket and let y represent the price of a pair of sweatpants. Which system of equations can be used to find the price of each item?

Respuesta :

The system of equation is: 15x+12y=348, 8x+8y=200. The price of a jacket times number of jackets means the amount of money spent on jackets, and same for sweatpants. Their sum is the total amount of money spent.
We have been given 2 instances with 2 unknowns. We can build a system of simultaneous equations.
x - price of a jacket 
y - price of pair of sweatpants
when he buys 15 jackets - price - 15x
and 12 pairs of sweatpants - price - 12y
total price he paid was 348
first equation,
15x + 12y = 348
next he buys 8 jackets - 8x 
and 8 pairs of sweatpants - 8y
Total price - 200
second equation 
8x + 8y = 200
system of equations therefore,
15x + 12y = 348
8x + 8y = 200

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