A sports apparel supplier offers teams the option of purchasing extra apparel for players. A volleyball team purchases 15 jacket
s 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?
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
