Question
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4. Sinilizwe buys a R50 rand phone card that allows him to speak for 62 minutes. 4.1 Calculate the cost per minute of using the phone card to make a call. 4.2 If Sinilizwe speaks for 27 minutes, how much money is left on the card?

Ask by Reyes Kelly. in South Africa
Jan 27,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

**4.1** Cost per minute ≈ R0.81 **4.2** Money left ≈ R28.13

Solution

Let's solve each part of the problem step by step. ### **4.1 Calculate the cost per minute of using the phone card to make a call.** **Given:** - Total cost of the phone card = **R50** - Total minutes available = **62 minutes** **Calculation:** \[ \text{Cost per minute} = \frac{\text{Total Cost}}{\text{Total Minutes}} = \frac{R50}{62 \text{ minutes}} \approx R0.81 \text{ per minute} \] **Answer:** The cost per minute is approximately **R0.81**. --- ### **4.2 If Sinilizwe speaks for 27 minutes, how much money is left on the card?** **Given:** - Cost per minute = **R0.81** (from part 4.1) - Minutes spoken = **27 minutes** - Initial card balance = **R50** **Calculation:** 1. **Total cost for 27 minutes:** \[ \text{Total Cost} = \text{Cost per minute} \times \text{Minutes} = R0.81 \times 27 \approx R21.87 \] 2. **Money left on the card:** \[ \text{Money Left} = \text{Initial Balance} - \text{Total Cost} = R50 - R21.87 \approx R28.13 \] **Answer:** After speaking for 27 minutes, approximately **R28.13** remains on the card.

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Bonus Knowledge

To find the cost per minute of using the phone card, you divide the total cost of the card by the total minutes it offers. So, R50 divided by 62 minutes equals approximately R0.81 per minute. For the remaining balance after Sinilizwe speaks for 27 minutes, you first calculate the total cost of the 27 minutes, which is R0.81 multiplied by 27. This comes to about R21.87. Subtracting this from the initial R50 gives him about R28.13 left on the card.

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