Question

5. A recipe needs 2 and 1/2 cups of sugar. Three-fourths of the sugar used is white sugar. How much white sugar is used in the recipe?

Answer 1

We are given that a receipt has 3/4 of white sugar out of 2 and 1/2 cups. First, we will rewrite 2 and 1/2 cups:

`2\text{ and 1/2=2+1/2}`

Now we will multiply by 3/4:

`(3)/(4)(2+(1)/(2))`

Using the distributive property:

`(3)/(4)*2+(3)/(4)*(1)/(2)`

Solving the operations:

`(6)/(4)+(3)/(8)`

Multiplying the first fraction by 2/2:

`(12)/(8)+(3)/(8)`

Now we add the numerators and leave the same denominator:

`(12)/(8)+(3)/(8)=(15)/(8)`

We can rewrite this fraction as:

`(15)/(8)=(7+8)/(8)=(7)/(8)+1=1\text{ 7/8}`

Therefore, there are 1 7/8 of white su