A truck is carrying grapefruit juice, mango juice and orange juice bottles in a ratio of 1:1:7. If there are 105 orange juice bottles, then how many juice bottles in total are there? Add an explanation

Solution:

Given that,

A truck is carrying grapefruit juice, mango juice and orange juice bottles in a ratio of 1:1:7

Ratio = 1 : 1 : 7

Let the number of grape fruit juice bottles be 1x

Let the number of mango juice bottles be 1x

Let the number of orange juice bottles be 7x

There are 105 orange juice bottles

Therefore,

7x = 105

Divide both sides by 7

x = 15

Therefore,

number of grape fruit juice bottles = 1x = 15

number of mango juice bottles = 1x = 15

number of orange juice bottles = 7x = 105

Thus,

Total bottles = 15 + 15 + 105 = 135

Thus there are 135 bottles in all

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!