Question

Abby used 3 3/4 of drink mix to make 10 cups of drinks.

Question 1: How much drink mix would she need to use to make 1 cup of drink
Question 2: She only has 11/4 scoops of drink mix remaining. How many cups of drinks can she make?

Answer 1

1) 3 x 4 = 12 + 3 = 15/10= 1.5

1.5/4 = 3/8 drink mix for one drink

2) 22/8

22/3=7.3

so 7 cups of drinks

Answer 2

1) she needs
`(3)/(8)` drink mix to make 1 cup of drink.

2) The number of cups of drinks = 7

Explanation:

Given:

`3(3)/(4)` of drink mix to make 10 cups of drinks.

1) We need to find how much drink mix to make 1 cup of drink.

Let's convert the mixed number
`3(3)/(4)` to improper fraction

`3(3)/(4)` =
`(15)/(4)`

Drink mix No. of cups of drinks

`(15)/(4)` 10

x 1

Here "x" is the amount of drink mix to make 1 cup of drink.

Now we have to make proportion and find the value of x.

`((15)/(4) )/(x) = (10)/(1)`

Cross multiplying, weget

`(15)/(4) *1 = 10x`

`x = (15)/(4) *(1)/(10)`

`x = (15)/(40)`

Now we have to simplify the fraction, we get

`x = (3)/(8)`

So she needs
`(3)/(8)` drink mix to make 1 cup of drink.

2) To find the number of cups of drinks, we need to divide drink mix by the drink mix needed to make 1 cup of drink.

`(3)/(8)` drink mix to make 1 cup of drink.

Number of cups of drinks =
`((11)/(4) )/((3)/(8) )`

When we divide fraction over fraction, we can flip the denominator fraction and multiply with the numerator fraction.

So,
`(11)/(4) *(8)/(3)`

Multiply the fractions

The number of cups of drinks =
`(88)/(12)`

= 7.3 cups

The number of drinks cannot be in decimal.

So, the number of cups of drinks = 7