Hannah buys two gold necklaces. one £75.25, weight 0.2ounces. two £65.50, weight 3.9grams
She sees an advert online offering to buy jewellery.
We pay £18 per gram for gold.
If Hannah sends both necklaces to CashForYou, will she make a profit?
Show your working.

Use the conversion:  1 ounce = 28 grams (g)

To determine if Hannah will make a profit by sending both necklaces to CashForYou, we need to calculate the total weight of both necklaces in grams and then find out how much she would receive based on the price of £18 per gram.

### Step 1: Convert the weight of both necklaces to grams

1. **Necklace 1**:
   - Cost: £75.25
   - Weight: 0.2 ounces
   - Conversion: \( 1 \text{ ounce} = 28 \text{ grams} \)
   \[
   \text{Weight in grams} = 0.2 \text{ ounces} \times 28 = 5.6 \text{ grams}
   \]

2. **Necklace 2**:
   - Cost: £65.50
   - Weight: 3.9 grams (already in grams)

### Step 2: Calculate the total weight of both necklaces in grams
\[
\text{Total weight} = 5.6 \text{ grams} + 3.9 \text{ grams} = 9.5 \text{ grams}
\]

### Step 3: Calculate the total price offered by CashForYou
\[
\text{Price per gram} = £18
\]
\[
\text{Total price offered} = 9.5 \text{ grams} \times 18 = £171
\]

### Step 4: Calculate Hannah's total cost
\[
\text{Total cost} = £75.25 + £65.50 = £140.75
\]

### Step 5: Determine if she makes a profit
\[
\text{Profit} = \text{Total price offered} - \text{Total cost} = £171 - £140.75 = £30.25
\]

### Conclusion:
Hannah will make a **profit of £30.25** if she sends both necklaces to CashForYou.

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Would you like further details or have any questions?

Here are 5 related questions:
1. How would the profit change if the gold price per gram was £20?
2. What if one of the necklaces was damaged, would it affect the offer price?
3. How much gold would Hannah need to sell to make a £50 profit?
4. What other factors should Hannah consider before selling the jewellery?
5. How does the weight of different metals affect their value?

**Tip**: Always check the purity of gold before selling, as different purities can affect the price significantly!

Hannah buys two gold necklaces. one £75.25, weight 0.2 ounces. two £65.50, weight 3.9 grams. She sees an advert online offering to buy jewellery. We pay £18 per gram for gold. If Hannah sends both necklaces to CashForYou, will she make a profit? Show your working.

Learn how to calculate the profit from selling gold necklaces by converting ounces to grams and using basic arithmetic. Hannah buys two gold necklaces and sells them at £18 per gram. Will she make a profit? Suitable for Grades 6-8.

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