Question

Ana drinks chocolate milk out of glasses that each hold 1/8 of a leader. she has 7/10 of a liter of chocolate milk in her refrigerator. How many glasses of chocolate milk and she pour?

Answer 1

5 3/5

Explanation:



Modeling the situation

(amount per glass) × glasses = (total amount)

We don't know the number of glasses. Let's rewrite the multiplication equation as an equivalent division equation. Then we can fill in the values we know and divide.

Writing a division equation

glasses = (total amount) ÷ (amount per glass) = 7/10 ÷ 1/8

Rewriting with the reciprocal

Dividing by 1/8 is equivalent to multiplying by its reciprocal.

The reciprocal of 1/8 is 8/1

glasses = 7/10 ÷ 1/8 = 7/10 × 8/1 = 56/10 = 28/5.

It makes sense to pour a fraction of a glass, so Ana can pour 5 3/5 glasses.

Answer 2

Amount of chocolate milk Ana drinks =
`(1)/(8)` liter

Total amount of chocolate milk in refrigerator =
`(7)/(10)` liter

We have to determine the total number of glasses she will pour
`(1)/(8)` liter of milk from
`(7)/(10)` liter of milk.

Total number of glasses will be determined by dividing the total amount of milk by the amount of milk required for one glass

Total number of glasses =
`(7)/(10) / (1)/(8)`

=
`(7)/(10) * 8`

=
`(56)/(10)`

= 5.6 glasses

So, 5.6 glasses will be poured from the given amount of chocolate milk.