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?
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.
