Find expert answers and community support for all your questions on IDNLearn.com. Our platform provides accurate, detailed responses to help you navigate any topic with ease.

Andrea placed two jars on a scale. The first jar weighed [tex]$3 \frac{1}{3}$[/tex] ounces. The second jar weighed [tex]\frac{1}{2}[/tex] ounce more than the first jar.

What is the total weight, in ounces, of the two jars?


Sagot :

Great! Let's walk through the problem step-by-step together.

1. Determine the weight of the first jar:
- Andrea's first jar weighs \( 3 \frac{1}{3} \) ounces.
- To write it as an improper fraction: \( 3 \frac{1}{3} = 3 + \frac{1}{3} \).
- Converting \( 3 \frac{1}{3} \) to a decimal: \( 3 + \frac{1}{3} = 3.333\overline{3} \) (or approximately 3.3333).

2. Determine the weight of the second jar:
- The second jar weighs \( \frac{1}{2} \) ounce more than the first jar.
- Add \( \frac{1}{2} \) (which is 0.5) to the weight of the first jar.
- The weight of the second jar: \( 3.333\overline{3} + 0.5 = 3.833\overline{3} \) (or approximately 3.8333).

3. Calculate the total weight of both jars combined:
- Add the weight of the first jar \( 3.333\overline{3} \) and the weight of the second jar \( 3.833\overline{3} \).
- The total weight of the two jars: \( 3.333\overline{3} + 3.833\overline{3} = 7.166\overline{6} \) (or approximately 7.1667).

So, filling in the correct spaces:
- The weight of the first jar is approximately 3.3333 ounces.
- The weight of the second jar is approximately 3.8333 ounces.
- The total weight of the two jars together is approximately 7.1667 ounces.