Question

The fruit stand sold 21 bags of cherries. Some of the bags were small and some of the bags were large. The small bags cost $5 each and the large bags cost $7 each.
If a total of $129 was made, how many of each bag was sold?
There were 12 large bags sold and 9 small bags sold.
There were 19 large bags sold and 2 small bags sold.
There were 10 large bags sold and 11 small bags sold.
None of the choices are correct.

Answer 1

Answer:

There were 12 large bags sold and 9 small bags sold

Step-by-step explanation:

Let us evaluate the options:

1. If 12 large bags and 9 small bags are sold:

Total amount received = 12*7 + 9*5 = 84 + 45

= $129

2. If 19 large bags and 2 small bags are sold:

Total amount received = 19*7 + 2*5 = 133 + 10

= $143

3. If 10 large bags and 11 small bags are sold:

Total amount received = 10*7 + 11*5 = 70 + 55

= $125

As $129 dollars is the total amount made in the first case, 12 large bags and 9 small bags were sold.