Question

1. a juice blend is 35% apple juice. if it contains 14 oz. of apple juice, how many oz. of juice blend are there in all?
2. ted got 75 points on last month’s math test. his score on this month’s test was 24% higher. what is his new score?

Explanation:

Problem 2

Step1: Define the variable

Let \( x \) be the total ounces of the juice blend.

Step2: Set up the equation

We know that 35% of \( x \) is 14 oz. So, \( 0.35x = 14 \).

Step3: Solve for \( x \)

Divide both sides of the equation by 0.35: \( x=\frac{14}{0.35} \).
Calculate \( \frac{14}{0.35}=40 \).

Step1: Find the increase in score

First, calculate 24% of 75. The formula for percentage increase is \( \text{Increase} = 0.24\times75 \).
\( 0.24\times75 = 18 \).

Step2: Calculate the new score

Add the increase to the original score: \( 75 + 18 = 93 \).
(Alternatively, we can use the formula \( \text{New Score}=75\times(1 + 0.24)=75\times1.24 = 93 \))

Answer:

40 oz

Problem 4