Question

Does anyone know the answer to this scale and unit conversion GED math problem? Thank you very much!

Answer 1

Flour
`5(1)/(2)\ c`

Sugar
`2(2)/(3)\ c`

Butter
`1(1)/(2)\ c`

Eggs
`2`

Baking powder
`7\ t`

Vanilla extract
`3\ t`

Explanation:

There will be 16 people at the party. Each person will eat 3 cookies, so all people will eat
`16\cdot 3=48` cookies.

Given cookie recipe makes 24 cookies, so to make 48 cookies you need

`48:24=2` portions.

Thus,

1 portion 2 portions

Flour
`2 (3)/(4)\ c`
`2(3)/(4)\cdot 2=2\cdot 2+(3)/(4)\cdot 2=4+(3)/(2)=4+1 (1)/(2)=5(1)/(2)\ c`

Sugar
`1(1)/(3)\ c`
`1(1)/(3)\cdot 2=1\cdot 2+(1)/(3)\cdot 2=2+(2)/(3)=2(2)/(3)\ c`

Butter
`(3)/(4)\ c`
`(3)/(4)\cdot 2=(3)/(2)=1(1)/(2)\ c`

Eggs
`1`
`1\cdot 2=2`

Powder
`3(1)/(2)\ t`
`3(1)/(2)\cdot 2=3\cdot 2+(1)/(2)\cdot 2=6+1=7\ t`

Vanilla
`1(1)/(2)\ t`
`1(1)/(2)\cdot 2=1\cdot 2+(1)/(2)\cdot 2=2+1=3\ t`