(d) The are 60 dev/ces In a local computer store. The ratio of the number of smart phone to tables to laptops $$ 157: 8: 15 $$. Determine the number of smartphone in store (3) 2.28 boys each contributes R115,50 towards the purchase of a tent, Calculate how much each boy will have to contrlbute to buy the same tent, if there were 10 boys in the groups in the group. (2) (11) marks QUESTION 3 COMMISSION 3.1Steven is a student who earns pocket money by dellvering pamphlets to house on a commission basls. He recelves a fixed wages of R40 per day as well as 55 c per pamphlet he deflivers. If on 4 days he delfvered 315, 207, 150, 281, 3.1.1 How much comm/ssion does the earn ? (3) 3.1.2 How much did he earn in total? (2) [ Thint : Remember to work In rands l.e $$ 55 \mathrm{C}= $$ R0.55 ] RENTALS 3.2 A car rental company has the arrangement of hiring thelr cars out at R175 a day plus R2 per kilo for 500 km . What would the total cost be if a cor is rented for 5 days ? (3) 3.3 COMPOUND INTEREST GIVEN : $$ A=p(1+1) $$ Where $$ P= $$ Princlpal (original) amount $$ \begin{array}{l} A=\text { final amount } \ l=\text { Interest rate } \ n=\text { number of years } \end{array} $$

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Let's break down the problems step by step.

### Problem 1: Number of Smartphones in the Store

**Given:**
- Total devices = 60
- Ratio of smartphones to tablets to laptops = $$ 157: 8: 15 $$

**Step 1: Calculate the total parts of the ratio.**
$$
\text{Total parts} = 157 + 8 + 15 = 180
$$

**Step 2: Calculate the number of smartphones.**
Let $$ S $$ be the number of smartphones. The number of smartphones can be calculated as follows:
$$
S = \frac{157}{180} \times 60
$$

Now, let's calculate $$ S $$:
$$
S = \frac{157 \times 60}{180}
$$

### Problem 2: Contribution of Boys Towards a Tent

**Given:**
- 2.28 boys contribute R115.50
- New group size = 10 boys

**Step 1: Calculate the total contribution of the original group.**
$$
\text{Total contribution} = 2.28 \times 115.50
$$

**Step 2: Calculate the contribution per boy in the new group.**
$$
\text{Contribution per boy} = \frac{\text{Total contribution}}{10}
$$

### Problem 3: Commission Earned by Steven

**3.1.1 Calculate Commission Earned**

**Given:**
- Fixed wages = R40 per day
- Commission = R0.55 per pamphlet
- Pamphlets delivered over 4 days = 315, 207, 150, 281

**Step 1: Calculate total pamphlets delivered.**
$$
\text{Total pamphlets} = 315 + 207 + 150 + 281
$$

**Step 2: Calculate total commission.**
$$
\text{Total commission} = \text{Total pamphlets} \times 0.55
$$

**3.1.2 Calculate Total Earnings**

**Step 1: Calculate total earnings.**
$$
\text{Total earnings} = \text{Fixed wages for 4 days} + \text{Total commission}
$$

### Problem 4: Total Cost of Car Rental

**Given:**
- Daily rental = R175
- Cost per kilometer = R2
- Distance = 500 km
- Rental period = 5 days

**Step 1: Calculate total cost for 5 days.**
$$
\text{Total cost} = (R175 \times 5) + (R2 \times 500)
$$

### Problem 5: Compound Interest

**Given:**
- Formula: $$ A = P(1 + i)^n $$

This problem does not provide specific values for $$ P $$, $$ i $$, or $$ n $$, so we will not calculate anything here without additional information.

Now, let's perform the calculations for the first four problems.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\left(157\times 60\right)}{180}$$
- step1: Remove the parentheses:
  $$\frac{157\times 60}{180}$$
- step2: Multiply the numbers:
  $$\frac{9420}{180}$$
- step3: Reduce the fraction:
  $$\frac{157}{3}$$
Calculate or simplify the expression $$ (175 * 5) + (2 * 500) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(175\times 5\right)+\left(2\times 500\right)$$
- step1: Multiply the numbers:
  $$875+\left(2\times 500\right)$$
- step2: Multiply the numbers:
  $$875+1000$$
- step3: Add the numbers:
  $$1875$$
Calculate or simplify the expression $$ 2.28 * 115.50 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$2.28\times 115.5$$
- step1: Multiply the numbers:
  $$263.34$$
Calculate or simplify the expression $$ 315 + 207 + 150 + 281 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$315+207+150+281$$
- step1: Add the numbers:
  $$953$$
### Problem 1: Number of Smartphones in the Store
The number of smartphones $$ S $$ is calculated as follows:
$$
S = \frac{157 \times 60}{180} = 52.33 \text{ (approximately 52)}
$$
Thus, there are approximately **52 smartphones** in the store.

### Problem 2: Contribution of Boys Towards a Tent
**Step 1: Total contribution of the original group:**
$$
\text{Total contribution} = 2.28 \times 115.50 = 263.34
$$

**Step 2: Contribution per boy in the new group:**
$$
\text{Contribution per boy} = \frac{263.34}{10} = 26.33
$$
Thus, each boy in the new group will have to contribute approximately **R26.33**.

### Problem 3: Commission Earned by Steven
**3.1.1 Total Pamphlets Delivered:**
$$
\text{Total pamphlets} = 315 + 207 + 150 + 281 = 953
$$

**Step 2: Total commission:**
$$
\text{Total commission} = 953 \times 0.55 = 524.15
$$
Thus, Steven earns approximately **R524.15** in commission.

**3.1.2 Total Earnings:**
**Step 1: Calculate total earnings:**
$$
\text{Total earnings} = (40 \times 4) + 524.15 = 160 + 524.15 = 684.15
$$
Thus, Steven's total earnings are approximately **R684.15**.

### Problem 4: Total Cost of Car Rental
The total cost for renting the car for 5 days is:
$$
\text{Total cost} = (175 \times 5) + (2 \times 500) = 875 + 1000 = 1875
$$
Thus, the total cost of renting the car for 5 days is **R1875**.

### Summary of Results
1. Number of smartphones: **52**
2. Contribution per boy in the new group: **R26.33**
3. Total commission earned by Steven: **R524.15**
4. Total earnings of Steven: **R684.15**
5. Total cost of car rental for 5 days: **R1875**
- **Smartphones:** 52 - **Contribution per boy:** R26.33 - **Commission earned by Steven:** R524.15 - **Total earnings of Steven:** R684.15 - **Car rental cost for 5 days:** R1875

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