Question

Julio bought a total of 20 medium and large pumkins if he spent 53$ and bought 6 more large pumkins as medium pumkins how many large pumkins did he buy large pumkin 3$ medium 2$ ans small 1$

Answer 1

L = large pumpkin

m = medium pumpkin


Write a system of equations: 

1)   L + m = 20
2)   m = L - 6
3)   $3L + $2m = $53

Substitute L - 6 for m in equation 1:

L + (L - 6) = 20

Add 6 to both sides:

2L = 26
(L + L = 2L)

Divide two on both sides:

L = 13

Julie bought 13 large pumpkins.

Check (use equation 3):

$3(13) + $2(7) = 53
(m = 7 because 20 - 13 = 7)

Multiply:

$39 + $14 = $53       :)