Question

1. Hayden earns $9.50 per hour as a lifeguard. He earns a bonus of $50.00 for taking a training course. How many hours must he work to earn at least $300.00?

2. Russell wants to buy three ties and a belt and must spend no more than $80.00. The belt costs $28.50. If the three ties are the same price, then how much can he pay for each tie?

Answer 1

Hayden must work at least 27 hours to earn at least $300.00. Russell can pay up to $17.17 for each tie.

Step-by-step explanation:

To determine the number of hours Hayden must work to earn at least $300.00, we can set up an equation:

9.50h + 50 ≥ 300

Solving this equation, we subtract 50 from both sides:

9.50h ≥ 250

Then, we divide both sides by 9.50:

h ≥ 26.32

Since Hayden cannot work a fraction of an hour, he must work at least 27 hours to earn at least $300.00.

To determine how much Russell can pay for each tie, we can subtract the cost of the belt ($28.50) from the total amount he can spend ($80.00):

Total amount he can spend on ties = $80.00 - $28.50 = $51.50

Since he wants to buy three ties and they are the same price, we can divide the total amount he can spend on ties by the number of ties:

Price of each tie = $51.50 ÷ 3 = $17.17

Therefore, Russell can pay up to $17.17 for each tie.