Question

Each small kite costs $4, while each large kite costs $7. If the total money collected selling kites is $150, and 30 kites are sold, which system of equations can be used to find out how many of each size kite are sold? Let s be the small kites and l be the number of large kites.

Answer 1

Solve the following system of equations by linear combination:

3x + 2y = 7 y = x – 4

3x+2(x-4)=7 now solve for x 3x+2x-8=7 combine terms 5x-8=7 add 8 5x=15 divide by 5 x=3 plug that into the second equation y=3-4 y=-1 solution (3,-1)