Question

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

Answer 1

Answer:

1) she needs $\frac{3}{8}$ drink mix to make 1 cup of drink.

2)  The number of cups of drinks = 7

Step-by-step explanation:

Given:

$3\frac{3}{4}$ 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 $3\frac{3}{4}$  to improper fraction

$3\frac{3}{4}$  = $\frac{15}{4}$

Drink mix                   No. of cups of drinks

 $\frac{15}{4}$                    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.

$\frac{\frac{15}{4} }{x} = \frac{10}{1}$

Cross multiplying, weget

$\frac{15}{4} *1 = 10x$

$x = \frac{15}{4} *\frac{1}{10}$

$x = \frac{15}{40}$

Now we have to simplify the fraction, we get

$x = \frac{3}{8}$

So she needs $\frac{3}{8}$ 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.

$\frac{3}{8}$ drink mix to make 1 cup of drink.

Number of cups of drinks = $\frac{\frac{11}{4} }{\frac{3}{8} }$

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

So,  $\frac{11}{4} *\frac{8}{3}$

Multiply the fractions

The number of cups of drinks = $\frac{88}{12}$

= 7.3 cups

The number of drinks cannot be in decimal.

So, the number of cups of drinks = 7

Answer 2

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