Destiny has $47 to spend at the fair. The entrance fee to the fair is $5, and the rides cost $7 each. How many rides can Destiny go on to spend exactly $47?

Question

Let r be the number of rides Destiny goes on. Start by writing an expression that represents the total amount of money she spends.
Nice!
Complete the equation to represent the amount of money Destiny has to spend at the fair.
7r+5 =
Excellent!
Solve for the value of r. Solve on paper, or show your work below. Then enter your answer on Zearn.
7r+5
=
47

r
=
You got it!
What does your answer of 6 mean in this situation?
7r+5 = 47
r = 6

Destiny needs to spend $6 on rides to spend $47.

Destiny can go to the fair for 6 hours to spend $47.

Destiny can ride 6 rides to spend $47.

Answer 1

To solve the problem, we first set up the equation to represent how much Destiny spends at the fair:

The total amount spent can be represented as: \[ \text{Total spent} = \text{Entrance fee} + \text{Cost of rides} \] Given that the entrance fee is $5 and each ride costs $7, if \( r \) is the number of rides, the total amount spent can be expressed as: \[ 5 + 7r \]

Next, we set this equal to the total amount of money Destiny has, which is $47. Therefore, our equation is: \[ 7r + 5 = 47 \]

Now, we can solve for \( r \):

1. Subtract 5 from both sides: \[ 7r = 47 - 5 \] \[ 7r = 42 \]

2. Divide both sides by 7: \[ r = \frac{42}{7} \] \[ r = 6 \]

So, the value of \( r \) is 6.

Now, interpreting the result: The answer of 6 in this situation means that Destiny can ride 6 rides to spend exactly $47 at the fair. After paying the entrance fee of $5, she can afford 6 rides at $7 each, resulting in a total expenditure of: \[ 5 + (6 \times 7) = 5 + 42 = 47 \]

Thus, Destiny can ride a total of 6 rides to spend exactly $47.