Question

Martin combined different amounts of orange juice, pineapple juice, and strawberry juice to make 1850 milliliters (ml) of fruit punch. The amount of orange juice combined was x ml. The amount of pineapple juice combined was 100 ml more than the amount of orange juice, and the amount of strawberry juice was half the amount of orange juice. This is represented in the equation below:

x + (x + 100) + one half x = 1850

What was the difference in the amounts of pineapple juice and strawberry juice Martin combined?

Answer 1

450 ml

Explanation:

450ml we have and then we can plug into equation if Martin combined different amounts of orange juice, pineapple juice, and strawberry juice to make 1850 milliliters and we divide and get 450 ml

Answer 2

The answer is 450 ml.

First, we need to solve x (the amount of orange juice):
x + (x + 100) + one half x = 1850
x + x + 100 + 1/2 x = 1850

We can represent 1/2 as 0.5:

2x + 100 + 0.5x = 1850
2.5x = 1850 - 100
2.5x = 1750
x = 1750 ÷ 2.5
x = 700.

Thus, in the fruit punch, there is 700 ml of orange juice.

The amount of pineapple juice combined was 100 ml more than the amount of orange juice. Therefore, there is 800 ml of pineapple juice (700 ml of orange juice + 100 ml more).

The amount of strawberry juice was half the amount of orange juice. Therefore, there is 350 ml of strawberry juice (700 ml of orange juice ÷ 2).

The difference in the amounts of pineapple juice and strawberry juice Martin combined is 450 ml:
the amounts of pineapple juice - the amounts of strawberry juice =
800 ml of pineapple juice - 350 ml of strawberry juice = 450 ml.