NQF 1 (AET LEVEL 4): MATHEMATICAL LITERACY - SITE-BASED ASSESSMENT - LEARNER'S GUIDE
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1.3 Slindile spends [tex]\frac{3}{8}[/tex] of her Christmas bonus on a handbag and shoes. Her Christmas bonus is R 3 480. How much of her bonus is left after buying the bag and shoes?

(Show your working.)



Answer :

Let's solve the problem step-by-step:

1. Identify the Given Information:
- Slindile's Christmas bonus is R 3,480.
- She spends [tex]\(\frac{3}{8}\)[/tex] of her bonus on a handbag and shoes.

2. Calculate the Amount Spent on the Handbag and Shoes:
- To determine how much Slindile spends, we multiply her total bonus by the fraction spent:
[tex]\[ \text{Amount spent} = \text{Bonus} \times \frac{3}{8} = 3480 \times \frac{3}{8} \][/tex]
- Simplifying this, we get:
[tex]\[ \text{Amount spent} = 3480 \times 0.375 = 1305 \][/tex]
- Therefore, Slindile spends R 1,305 on the handbag and shoes.

3. Calculate the Amount Left After Spending:
- To find the remaining amount, we subtract the amount spent from the total bonus:
[tex]\[ \text{Amount left} = \text{Bonus} - \text{Amount spent} = 3480 - 1305 \][/tex]
- Simplifying this, we get:
[tex]\[ \text{Amount left} = 2175 \][/tex]
- Therefore, the amount of her bonus left after buying the handbag and shoes is R 2,175.

4. Conclusion:
- Slindile spends R 1,305 on the handbag and shoes.
- After her purchase, she has a remaining bonus of R 2,175.

Thus, Slindile has R 2,175 left after buying the handbag and shoes.