Noah wants to buy a new bicycle and a super cool new helmet. The bicycle he wants costs $349 and the helmet is $68.99. (Remember that he will have to pay tax on these items.) His parents have told him that they will pay half of the cost of JUST the bicycle and only if he can find a way to earn the rest of the money himself. He gets a job cutting his neighbours’ lawns and charges $18 per lawn. How many lawns will he have to cut before he has enough money to afford his new bike and helmet?

Let's break down the problem step by step to determine how many lawns Noah must cut to afford the bicycle and helmet.

### 1. Total cost of the bike and helmet
- **Cost of the bicycle**: \$349
- **Cost of the helmet**: \$68.99
- **Total cost before tax**: 
  \[
  349 + 68.99 = 417.99
  \]
  
### 2. Applying tax
Let’s assume a general sales tax rate of 8% (you can adjust this if needed).
- Tax on the total cost:
  \[
  \text{Tax} = 417.99 \times 0.08 = 33.4392
  \]
- Total cost after tax:
  \[
  417.99 + 33.44 = 451.43
  \]
  
### 3. Parent's contribution
Noah's parents will pay half the cost of just the bicycle:
- Half of the bicycle cost:
  \[
  \frac{349}{2} = 174.50
  \]
- Amount Noah has to pay for the bike:
  \[
  349 - 174.50 = 174.50
  \]

### 4. Total Noah needs to earn
Noah will pay for the helmet and the remaining half of the bicycle. This gives:
\[
\text{Amount Noah needs to pay} = 174.50 + 68.99 = 243.49
\]

### 5. Determining number of lawns to cut
Noah earns \$18 per lawn, so the number of lawns he needs to cut is:
\[
\frac{243.49}{18} \approx 13.53
\]

Since Noah can’t cut a fraction of a lawn, he will need to cut **14 lawns**.

### Conclusion
Noah will have to cut **14 lawns** to afford the bike and helmet.

Would you like further clarification on any part of this? 

Here are 5 related questions to expand on this scenario:
1. What if the tax rate was 10%? How would that change the number of lawns?
2. If Noah could charge $20 per lawn, how many lawns would he need to cut?
3. What if his parents contributed 60% of the cost of the bicycle instead of 50%?
4. How much more would Noah have to save if the helmet cost $80 instead of $68.99?
5. If Noah cuts 4 lawns per week, how many weeks will it take him to afford the bike and helmet?

**Tip**: When calculating percentages (such as tax or discounts), always multiply the percentage (in decimal form) by the total amount.

Noah wants to buy a new bicycle and a super cool new helmet. The bicycle he wants costs $349 and the helmet is $68.99. His parents have told him that they will pay half of the cost of JUST the bicycle and only if he can find a way to earn the rest of the money himself. He gets a job cutting his neighbours’ lawns and charges $18 per lawn. How many lawns will he have to cut before he has enough money to afford his new bike and helmet?

Noah wants to buy a bicycle for $349 and a helmet for $68.99, with an additional 8% sales tax. His parents will contribute half the cost of the bike. Learn how many lawns he needs to cut, earning $18 per lawn, in this detailed arithmetic problem breakdown. Suitable for Grades 6-8.

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