Question

Ryo accidentally ordered 240\%240%240, percent as many eggs as his restaurant needs. What fraction of the number of eggs his restaurant needs did Ryo order?

Answer 1

Ryo ordered 12/5 as many eggs as his restuaurant needs.

Explanation:

Ryo accidentally ordered 240% as many eggs as his restaurant needs.

To represents this percentage as a fraction, we just need to divide it by 100 and then simplify:

`(240)/(100)=(24)/(10)=(12)/(5)`

Therefore, Ryo ordered 12/5 as many eggs as his restuaurant needs.

Answer 2

Let us assume that Ryo's restaurant needs "x" eggs.

This means that Ryo accidentally ordered 240% times this number, that is to say, Ryo accidentally ordered
`240\%=(240)/(100)= (24)/(10)= (12)/(5)` times the eggs his restaurant really needs.

Therefore the total number of eggs Ryo ordered would be
`x+(12)/(5)x= (5+12)/(5)x= (17)/(5)x`.......(Equation 1)

Therefore, the fraction of the eggs his restaurant really needs did Ryo ordered will be calculated by dividing (Equation 1) by the the number of eggs the restaurant really needs, which is "x".

`((17)/(5)x)/(x)= (17)/(5)`

Thus,
`(17)/(5)` is the required fraction.