Question

Ben earns $9 per hour for each delivery he makes. He wants to make more than $155 in 8 hours .What is the least number of deliverys he must make to reach his goal

Answer 1

Question is Incomplete,Complete question is given Below.

Ben earns $9 per hour and $6 for each delivery he makes. he wants to earn more than $155 in an 8-hour workday. what is the least number of deliveries he must make to reach his goal?

Answer:

Ben must make at least 14 Deliveries to achieve his goal.

Step-by-step explanation:

Hourly Rate = $9 per hour

Cost of each Delivery = $6

Number of hours to be worked = 8 hours.

Money needs to be earned =$155

we need to find the number of deliveries he must make to reach his goal.

Solution :

Let number of deliveries be 'x'.

Now we can say that Hourly rate multiplied by number of hours of work plus Cost of each delivery multiplied by number of deliveries should be greater than or equal to Money needs to be earned.

Framing in equation form we get;

$9\times8+6x\geq 155$

Solving the equation we get;

$72+6x\geq 155$

Subtracting both side by 72 using Subtraction property of Inequality we get;

$72+6x-72\geq 155-72\\\\6x\geq 83$

Now Dividing both side by 6 using Division Property we get;

$\frac{6x}{6} \geq \frac{83}{6} \\\\x\geq 13.83$

Hence Ben must make at least 14 Deliveries to achieve his goal.