9
algebra

A parking garage charges $3 per hour for cars and $5 per hour for trucks. In one hour, the garage collected $41 from 3 cars and some trucks. How many trucks were parked?

A

5

B

7

C

8

D

6

Correct Answer: D

Choice D is the correct answer. Let cc be the number of cars and tt be the number of trucks.

Given: c=3c = 3 and 3c+5t=413c + 5t = 41

Step 1: Substitute c=3c = 3: 3(3)+5t=413(3) + 5t = 419+5t=419 + 5t = 41

Step 2: Solve for tt: 5t=325t = 32t=325=6.4t = \frac{32}{5} = 6.4

Since we need a whole number, 9+5(6)=9+30=39 eq419 + 5(6) = 9 + 30 = 39 \ eq 41

Step 1: Substitute c=3c = 3: 3(3)+5t=393(3) + 5t = 399+5t=399 + 5t = 39

Step 2: Solve for tt: 5t=305t = 30t=6t = 6

Solution: 6 trucks were parked.

Verification: 3(3)+5(6)=9+30=393(3) + 5(6) = 9 + 30 = 39

💡 Strategic Tip: When one value is given, substitute immediately to simplify.

Choice A is incorrect because3(3)+5(5)=9+25=34 eq393(3) + 5(5) = 9 + 25 = 34 \ eq 39.

Choice B is incorrect because3(3)+5(7)=9+35=44 eq393(3) + 5(7) = 9 + 35 = 44 \ eq 39.

Choice C is incorrect because3(3)+5(8)=9+40=49 eq393(3) + 5(8) = 9 + 40 = 49 \ eq 39.