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# Question 18 of 30

beginning of content:

# M:C:MC:14

Tags:
SAT

Exam

PSAT/NMSQT

Exam

PSAT 10

Exam

Calculator: Permitted
Heart of Algebra

Subscore

The toll rates for crossing a bridge are \$6.50 for a car and \$10 for a truck. During a two-hour period, a total of 187 cars and trucks crossed the bridge, and the total collected in tolls was \$1,338. Solving which of the following systems of equations yields the number of cars, x, and the number of trucks, y, that crossed the bridge during the two hours?

No

No

Yes

No

Choice C is correct. If x is the number of cars that crossed the bridge during the two hours and y is the number of trucks that crossed the bridge during the two hours, then  represents the total number of cars and trucks that crossed the bridge during the two hours, and  represents the total amount collected in the two hours. Therefore, the correct system of equations is  and

Choice A is not the correct answer. The student may have mismatched the symbolic expressions for total cars and trucks and total tolls collected with the two numerical values given. The expression represents the total number of cars and trucks that crossed the bridge, which is 187.

Choice B is not the correct answer. The student may have attempted to use the information that the counts of cars, trucks, and tolls were taken over a period of two hours, but this information is not needed in setting up the correct system of equations. The expression represents the total amount of tolls collected, which is \$1,338, not

Choice D is not the correct answer. The student may have attempted to use the information that the counts of cars, trucks, and tolls were taken over a period of two hours, but this information is not needed in setting up the correct system of equations. The expression represents the total amount of tolls collected, which is \$1,338 not

Question Difficulty:
medium
Objective:

Students must create a system of linear equations to represent a real-world situation.