Respuesta :
Answer:
Number of full size cars = 900
Step-by-step explanation:
The ratio of medium size cars to compacts is 7 to 5 and the ratio of compacts to full-size cars is 8 to 9. Since compact cars are there in both ratios , we need to make the number in the ratio for compact cars to be the same.
[tex]\frac{medium}{compact} = \frac{7}{5}[/tex]
Multiply by 8 on numerator and denominator
[tex]\frac{medium}{compact} = \frac{56}{40}[/tex]
[tex]\frac{compact}{full size} = \frac{8}{9}[/tex]
Multiply numerator and denominator by 5.
[tex]\frac{compact}{full size} = \frac{40}{45}[/tex]
Ratio of medium, compact and full size are in ratio 56,40,45.
Total number of cars =2820.
(56 + 40 + 45)x = 2820
x = [tex]\frac{2820}{141}[/tex]
x = 20
Number of full size cars = [tex] 20\times 45[/tex] =900
