Question

Students in a health class are tracking how much water they consume each day. Victoria has two reusable water bottles: a small one and a large one. Yesterday, she drank 3 small bottles and 4 large bottles, for a total of 3,312 grams. The day before, she drank 2 small bottles and 4 large bottles, for a total of 2,888 grams. How much does each bottle hold?

please help

Answer 1

Given :

Let, capacity of small bottle is x and large bottle is y.

To Find :

How much does each bottle hold ?

Solution :

For condition 1 :

3x + 4y = 3312 ...1)

For condition 2 :

2x + 4y = 2888 ...2)

Subtracting equation 2) from equation 1), we get :

x = 424

Putting value of x in equation 1) is :

`y = (2888 - (2* 424))/(4)\\\\y = 510`

Therefore, capacity of small bottle is 424 gram and large bottle is 510 gram.