Question

Question 5 of 6

Use the guess and check method to solve this problem.
Bunyan Farm sells 3 pound and 5 pound bags of onions. The Tuesday
morning delivery consists of 25 bags weighing 99 pounds. How many bags
are there of each size?
A. 12 small bags and 13 large bags
B. 13 small bags and 12 large bags
C. 15 small bags and 10 large bags
D. 14 small bags and 11 large bags

Answer 1

B. 13 small bags and 12 large bags

Explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of small bags.

y is the number of large bags.

The Tuesday morning delivery consists of 25 bags

This means that
`x + y = 25`, that is
`y = 25 - x`

Bunyan Farm sells 3 pound and 5 pound bags of onions. Total of 99 pounds.

This means that
`3x + 5y = 99`

Since
`y = 25 - x`

`3x + 5(25 - x) = 99`

`3x + 125 - 5x = 99`

`-2x = -26`

`2x = 26`

`x = (26)/(2)`

`x = 13`

`y = 25 - x = 25 - 13 = 12`

So 13 small bags and 12 large bags.