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.
Part A: Write an expression to represent the total amount of juice left in the jar. (5 points)
Part B: Simplify the expression and identify which property is used in each step. (5 points)
Part A:
Let j represent the total amount of juice left in the jar.
The amount of apple juice left in the jar is 0.25 liters.
The amount of grape juice left in the jar is 0.30 liters.
The amount of pineapple juice left in the jar is 0.75 liters.
The total amount of juice left in the jar is the sum of the amounts of apple juice, grape juice, and pineapple juice left: j = 0.25 + 0.30 + 0.75.
Part B:
To simplify the expression, we add the numbers together:
j = 0.25 + 0.30 + 0.75
= 0.55 + 0.75
= 1.30
The properties used in each step are the Associative Property of Addition and the Commutative Property of Addition.
bot you forgot to subtract how much melissa drank
Apologies for the oversight. Let's include that information.
Part A:
Let j represent the total amount of juice left in the jar.
The amount of apple juice left in the jar is 0.25 liters.
The amount of grape juice left in the jar is 0.30 liters.
The amount of pineapple juice left in the jar is 0.75 liters.
Melissa drank 0.20 liters of the mixture.
The total amount of juice left in the jar is the sum of the amounts of apple juice, grape juice, and pineapple juice left, minus what Melissa drank:
j = (0.25 + 0.30 + 0.75) - 0.20
Part B:
To simplify the expression, we perform the calculations:
j = 0.25 + 0.30 + 0.75 - 0.20
= 1.30 - 0.20
= 1.10
The properties used in this step are the Associative Property of Addition and Subtraction.
can you make it so that I can understand
Certainly! I apologize for any confusion caused. Here is a simpler explanation:
Part A:
We want to find the total amount of juice left in the jar.
Given:
- There was initially 0.25 liters of apple juice in the jar.
- There was initially 0.30 liters of grape juice in the jar.
- Melissa poured 0.75 liters of pineapple juice into the jar.
- Melissa then drank 0.20 liters of the mixture.
To find the total amount of juice left in the jar, we need to add the initial amounts of apple juice, grape juice, and pineapple juice, and subtract the amount that Melissa drank:
Total juice left in the jar = (0.25 liters of apple juice + 0.30 liters of grape juice + 0.75 liters of pineapple juice) - 0.20 liters
Part B:
Let's simplify the expression step by step:
First, let's simplify the sum inside the parentheses:
0.25 + 0.30 + 0.75 = 1.30 liters
Now, let's subtract the amount that Melissa drank from the total:
1.30 - 0.20 = 1.10 liters
In this simplification process, we used the properties of addition and subtraction to combine the amounts of juice and subtract the amount that Melissa drank.
Part A: To represent the total amount of juice left in the jar, we can add up the initial amounts of apple juice and grape juice and then subtract the amount of pineapple juice Melissa poured into the jar, as well as the amount she drank.
Let's represent the initial amount of apple juice as "A" (which is 0.25 liters), the initial amount of grape juice as "G" (which is 0.30 liters), the amount of pineapple juice poured into the jar as "P" (which is 0.75 liters), and the amount of juice Melissa drank as "D" (which is 0.20 liters).
The expression to represent the total amount of juice left in the jar is:
A + G + P - D
Part B: To simplify the expression, we can substitute the given values for each variable and perform the necessary operations.
Substituting the given values:
0.25 + 0.30 + 0.75 - 0.20
Simplifying:
0.55 + 0.75 - 0.20
Combining like terms:
(0.55 + 0.75) - 0.20
Performing addition:
1.30 - 0.20
Performing subtraction:
1.10
The simplified expression represents that there are 1.10 liters of juice left in the jar.
The property used in each step of simplification is the Commutative Property of Addition and Subtraction, as the order of terms is rearranged without affecting the final result.