Question

If one store is selling 3/4 of a bushel of apples for $9 and another story selling 2/3 of a bushel of apples for $9 which store has the better deal.

***I know the answer is calculate the $ amount first. 9 divided 3/4 total $12
9 divided 2/3 total $13.50 better deal 3/4 is cheaper...
But my question is how can identify when is division or multiplication??
I was doing multiplication but it did not work,.....why division this time?

Answer 1

For this case we have,

• store 1:

3/4 of a bushel of apples -----------------------> $ 9

1 bushel of apples -------------------------------> x

From here the value of x is cleared, resulting in:

`x =((1)(9))/((3)/(4) ) \\\\x = 12\\`

• store 2:

2/3 of a bushel of apples -----------------------> $ 9

1 bushel of apples -------------------------------> x

From here the value of x is cleared, resulting in:

`x = ((1)(9))/((2)/(3) )\\\\x = 13.50 \\`

Therefore it is convenient to buy apples in store 1 because it is cheaper.

Answer:

It is convenient to buy apples in store 1 because it is cheaper. A division must be made for each case because you want to find the unit cost of a product having the total cost and the amount in fraction.