Question

Three watermelons and two cantaloupes weigh 32 pounds. Four watermelons and three cantaloupes weigh 44 pounds. All watermelons weigh the same amount, and all cantaloupes weigh the same amount. What is the weight of two watermelons and one cantaloupe?

Answer 1

Answer:

Step-by-step explanation:

watermelon=w

cantaloupe=c

3w+2c=32    x3    9w+6c=96

4w+3c=44     x2   8w+6c=88

(9w+6c) - (8w+6c) =

96-88=

c=8

canteloupe is 8 pounds

3w+2(8)=32

3w+16=32

3w=16

w=5 1/3 pounds

watermelon is 5 1/3 pounds

2(5 1/3)+8=

10 2/3+8=

18 2/3 pounds