Question

Sam and Tyrone each build model cars. Altogether, Sam and Tyrone have built 42 model cars. The ratio of cars Sam has built to cars Tyrone has built is represented by the tape diagram shown below. What is the number of cars represented by each square?

A) 14
B) 21
C) 28
D) 7

Answer 1

The number of model cars represented by each square in the tape diagram is 7, which is found by dividing the total number of cars, 42, by the total number of squares in the diagram.

Step-by-step explanation:

The question asks for the number of model cars represented by each square in a tape diagram. Given that the total number of model cars built by Sam and Tyrone is 42 and the ratio of cars built by Sam to cars built by Tyrone is represented by the diagram, we assume that there are an equal number of cars represented by each square in the tape diagram. To find the answer, we divide the total number of cars (42) by the total number of squares, which should correspond to the sum of squares representing Sam's and Tyrone's cars in the ratio.

If Sam and Tyrone have a ratio of cars built such as 3 to 3, given by a tape diagram of 3 squares for Sam and 3 for Tyrone, we would add the total squares together giving us 6 squares and divide the total number of cars (42) by this number.

42 divided by 6 equals 7. Therefore, the number of cars represented by each square is 7, which corresponds to option D.