Question

A jar contains 0.25 liter of apple juice and 0.30 liter of grape juice. Melissa poured 0.75 liter of pineapple juice into the jar. She then drank 0.20 liter of the mixture.

Answer 1

Hi, and welcome to QuestionCove!

Normally, it is good to include as much information as possible about the question; for instance, it isn't stated specifically what you're supposed to solve here.
In this case, the context still allows us to determine the final composition of the juice mixture, so I'll assume that's what the question is asking and try to solve for that.

After mixing the 0.25 L apple juice, the 0.30 L grape juice, and the 0.75 L pineapple juice, Melissa has 1.3 total Liters in her juice mixture.
0.25/1.3 of the total is apple juice; 0.3/1.3 of the total is grape juice; 0.75/1.3 of the total is pineapple juice.
After drinking 0.2 Liters, there are 1.1 total Liters remaining.
So, the final amounts of each juice would be:
(0.25/1.3)*1.1 Liters of apple juice; (0.3/1.3)*1.1 Liters of grape juice; (0.75/1.3)*1.1 Liters of pineapple juice.
I'll leave it to you to crunch those numbers, and let me know if you have any questions about the steps used :)

Answer 2

Part A: Write an expression to represent the total amount of juice left in the jar.

Part B: Identify which property is used in each step to simplify the expression.

Answer 3

part A: makes no distinction between the types of juice, so you'd simply write an expression that adds the apple juice, grape juice, and pineapple juice, then subtracts the amount Melissa drank. set the total equal to the final amount. don't simplify at this point.

part B: simplify the expression from part A, step by step. the addition steps will use the addition property of equality, and the subtraction step will use the subtraction property of equality.