Question
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b. The school was raising money to buy 24 PACEs for each of the students in one of the 6 Learning Centers. So far they have enough money for \( \frac{1}{9} \) of the PACEs. How many PACEs can they purchase at this time? Circle your final answer.

Ask by Mckenzie Fitzgerald. in South Africa
Feb 20,2025

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Tutor-Verified Answer

Answer

They can purchase 16 PACEs.

Solution

To solve the problem, we need to determine how many PACEs the school can currently purchase based on the amount of money they have. 1. **Identify the total number of PACEs needed:** - The school needs 24 PACEs for each of the 6 Learning Centers. - Total PACEs needed = \( 24 \times 6 \). 2. **Calculate the total PACEs needed:** \[ \text{Total PACEs} = 24 \times 6 = 144 \] 3. **Determine how many PACEs they can currently purchase:** - They have enough money for \( \frac{1}{9} \) of the total PACEs. - PACEs they can purchase = \( \frac{1}{9} \times 144 \). 4. **Calculate the number of PACEs they can purchase:** \[ \text{PACEs they can purchase} = \frac{1}{9} \times 144 = 16 \] Thus, the school can currently purchase **16 PACEs**. **Final Answer: 16**

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The Deep Dive

To find out how many PACEs they can purchase at this time, we need to calculate \( \frac{1}{9} \) of the total number of PACEs needed. Since they want to buy 24 PACEs for each of the 6 Learning Centers, that means they need a total of: \[ 24 \times 6 = 144 \text{ PACEs} \] Now, we calculate \( \frac{1}{9} \) of 144: \[ \frac{144}{9} = 16 \] So, they can purchase 16 PACEs at this time. Final answer: **16**

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