Question

1. kayla rented a canoe for 3 hours. she also paid $24 for snacks and drinks. the total amount kayla paid was $78. the equation below can be used to find c, the amount kayla paid each hour she rented the canoe.

3c + 24 = 78
how much did kayla pay for each hour she rented the canoe?
a $51
b $34
c $26
d $18

Explanation:

Step1: Subtract 24 from both sides

To isolate the term with \( c \), we subtract 24 from both sides of the equation \( 3c + 24 = 78 \). This gives us \( 3c + 24 - 24 = 78 - 24 \), which simplifies to \( 3c = 54 \).

Step2: Divide both sides by 3

To solve for \( c \), we divide both sides of the equation \( 3c = 54 \) by 3. So, \( \frac{3c}{3} = \frac{54}{3} \), which simplifies to \( c = 18 \). Wait, no, wait, 54 divided by 3 is 18? Wait, no, 78 - 24 is 54? Wait, 78 - 24: 78 - 20 is 58, 58 - 4 is 54. Then 54 divided by 3 is 18? But wait, let's check again. Wait, the total is $78, snacks $24, so canoe rental for 3 hours is 78 - 24 = 54. Then per hour is 54 / 3 = 18? But let's check the options. Option D is $18. Wait, but let me re-express the steps correctly.

Wait, initial equation: \( 3c + 24 = 78 \)

Step 1: Subtract 24 from both sides: \( 3c = 78 - 24 \)
\( 3c = 54 \)

Step 2: Divide both sides by 3: \( c = \frac{54}{3} \)
\( c = 18 \)

So the amount per hour is $18, which is option D. Wait, but let me check the options again. The options are A. $51, B. $34, C. $26, D. $18. So yes, D is correct. Wait, but maybe I made a mistake in calculation? Let's verify: 3*18 = 54, 54 +24 =78. Yes, that's correct. So the answer is D. $18.

Answer:

D. $18