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
Part A:
Let x be the total amount of juice left in the jar.
The initial amount of apple juice in the jar is 0.25 liters. The initial amount of grape juice in the jar is 0.30 liters. Melissa poured 0.75 liters of pineapple juice into the jar. Melissa then drank 0.20 liters of the mixture.
Therefore, the expression to represent the total amount of juice left in the jar is:
x = (0.25 + 0.30 + 0.75) - 0.20
Part B:
To simplify the expression, we can combine like terms and perform the subtraction:
x = 0.25 + 0.30 + 0.75 - 0.20
= 1.30 - 0.20
= 1.10
The identity property of addition was used to combine the like terms 0.25, 0.30, and 0.75. The property states that adding zero does not change the value of a number. In this case, adding 0 does not affect the sum of the terms.
The subtraction property was used to subtract 0.20 from 1.30.