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 the two watermelons and one cantaloupe? Plz answer I will give you 100 points

Answer 1

A melon weighs 8 pounds and a cantaloupe weighs 4 pounds

So weight of the 2 melons and 1 cantaloupe = 2(8)+4 = 20 pounds

Explanation:

4m + 3c = 44 where m = melons and c = cantaloupes (weight of)

3m + 2c = 32

Multiply first equation by 2 and second by -3:-

8m + 6c = 88

-9m - 6c = -96

Adding:-

-m = -8

m = 8

and 3c = 44- 4(8) = 12 (from the first equation)

c = 4