Question

A water tank is 1/8 full. the tank is 3/4 full when 42 gallons of water are added to the tank. how much water can the tank hold

Answer 1

Let, the water capcity of tank = x

it would be x*3/4 = 42

x = 42*4 / 3 = 168/3 = 56

So, the tank can hold up to 56 gallons

Answer 2

67.2 gallons

Explanation:

Given: A water tank is
`(1)/(8)` full. the tank is
`(3)/(4)` full when
`42` gallons of water are added to the tank.

To Find: how much water can the tank hold.

Solution:

let total capacity of tank be
`=\text{t}`

initially water in tank
`=(1)/(8)\text{t}`

amount of water added in tank
`=42`
`\text{gallons}`

water in tank after more water is added
`=(3)/(4)\text{t}`

now,

water added in tank
`=(\text{water in tank after more water is added})-(\text{initial amount of water})`

`(3)/(4)\text{t}-(1)/(8)\text{t}`

`(6)/(8)-(1)/(8)`

`(5)/(8)\text{t}`

water added in tank
`=42`
`\text{gallons}`

`(5)/(8)\text{t}=42`

`\text{t}=(42*8)/(5)`

`\text{t}=67.2`
`\text{gallons}`

tank can hold
`67.2`
`\text{gallons}` of water