Question

Prove that your recipe makes exactly 10 cups.

• Explain the most efficient method for measuring each ingredient using only
the following two measuring cups:
1/3
cup and
1/4
cup. You can use one or
both of the measuring cups

Answer 1

Yyyyyyyyyyyyyy yyyyyyyyyyyyyy and yyyyyyy so that mean It’s

Answer 2

Use both measuring cups 16 times and then use the
`(1)/(3)` cup to measure twice for exactly 10 cups.

Explanation:

When working with fractions, I like to make the denominators the same first.

`(1)/(3)` cup =
`(4)/(12)` cup

`(1)/(4)` cup =
`(3)/(12)` cup

10 cups =
`(120)/(12)` cups

Now, for the most efficient method, it would be reasonable to use both cups so that it is quicker.

1 scoop using both cups:
`(4)/(12)` +
`(3)/(12)` =
`(7)/(12)` cup in total

No. of scoops using both cups:
`(120)/(12)` ÷
`(7)/(12)` = 16 R
`(8)/(12)`

You know that using both cups, you can scoop 16 times with a remainder of
`(8)/(12)`. You cannot scoop
`(8)/(12)` using both cups without the remaining
`(1)/(12)` left to scoop, so you have to use only one cup to scoop. The bigger cup is the
`(4)/(12)` cup, so I will use that one to scoop the remaining
`(8)/(12)`.

No. of scoops using the
`(4)/(12)` cup:
`(8)/(12)` ÷
`(4)/(12)` = 2

Overall, you will use both cups together for 16 times, then use the
`(1)/(3)` cup twice.