Question

A glass jug can hold (6p+8) quarts more water than a plastic container. 2 glass jugs and 2 plastic containers contain 56p quarts of water in all.

a) How much water can the plastic container hold? Give your answer in terms of p.

b) If p=3, find how much water can 1 glass jug and 1 plastic container hold in all

Answer 1

b if you the math it will equal that

Answer 2

Answer:

Step-by-step explanation:

Let j represents water in one glass jag while p' represents the water in one plastic container,

According to the question,

j-p' = 6p+8 --------(1)

And, 2j+2p'=56p --------(2)

2 × equation (1)

2 j - 2 p' = 12p + 16 ---------(3)

Equation (2) + equation (3)

We get, 4 j = 12 p + 72

⇒ j = 3 p + 18

Putting this value in equation (1),

We get, 3p+18-p'=6p+8

p' = -3p + 10 = 10 - 3p

Thus, water in a plastic container, p'= 10 - 3 p

b) If p=3

Water in a glass container = 3 × 3 + 18 = 27 quarts

Water in a plastic container = 10 - 3 × 3 = 1 quarts