Question

Edie has purchased 12 3/4 feet of plastic to make toy cars. Each car requires a piece of plastic that measures 1 2/3 feet long. How many complete toy cars can Edie make?

A) 6 cars
B) 7 cars
C) 8 cars
D) 9 cars

Answer 1

Edie can make 7 complete toy cars with 12 3/4 feet of plastic, given that each car requires 1 2/3 feet of plastic.

Step-by-step explanation:

Edie has purchased 12 3/4 feet of plastic to make toy cars, and each car requires 1 2/3 feet of plastic. To find out how many complete toy cars Edie can make, we need to divide the total length of plastic by the length needed for one car.

First, convert the mixed numbers to improper fractions:

• 12 3/4 feet becomes (12 × 4 + 3)/4 = 51/4 feet
• 1 2/3 feet becomes (1 × 3 + 2)/3 = 5/3 feet

Now divide 51/4 feet by 5/3 feet:

\(\frac{51}{4} \div \frac{5}{3} = \frac{51}{4} \times \frac{3}{5} = \frac{51 \times 3}{4 \times 5} = \frac{153}{20} = 7 \frac{13}{20}\)

Edie can make complete cars without using partial pieces of plastic. Since 7 and 13/20 is just over 7 full cars, the answer is that Edie can make 7 complete toy cars.