ACTIVITY Jo will cook pasta for 70 people. A rule of thumb is to cook 3 ounces of pasta per person, which should yield plenty of box of pasta has 16 ounces. How many boxes are needed? 10 persons \( \times \) ( 3 ounces) / \( (1 \) person \( ) \times A=B \). 1) Is the first conversion factor, ( 3 ounces)/( person), correct? Correct 2) What is A? 30 ounces ( 16 ounces) \( /(1 \) box) ( 1 box) \( /(16 \) ounces) 3) What is B? (1.9 boxes 30 ounces

Let's break down the problem step by step to find out how many boxes of pasta Jo needs to cook for 70 people. 1. **Calculate the total amount of pasta needed:** - Each person requires 3 ounces of pasta. - For 70 people: \[ 70 \text{ persons} \times 3 \text{ ounces/person} = 210 \text{ ounces} \] 2. **Determine how many boxes of pasta are needed:** - Each box of pasta contains 16 ounces. - To find the number of boxes needed, divide the total ounces by the ounces per box: \[ \frac{210 \text{ ounces}}{16 \text{ ounces/box}} = 13.125 \text{ boxes} \] 3. **Since Jo cannot buy a fraction of a box, she will need to round up to the nearest whole number:** - Therefore, Jo will need **14 boxes** of pasta. ### Summary: - Total pasta needed: 210 ounces - Total boxes needed: 14 boxes ### Answers to your questions: 1. Yes, the first conversion factor \( \frac{3 \text{ ounces}}{1 \text{ person}} \) is correct. 2. A is 210 ounces (not 30 ounces). 3. B is 13.125 boxes (not 1.9 boxes). Jo needs to buy **14 boxes** of pasta.