Question

A cat rescue service found homes for 40 cats in 5 weeks. What was the rate of cats being placed per week? Which ratio is equal to the weekly rate? A) 8 cats 1 week ; 24:3 B) 1 cat 8 weeks ; 6:48 C) 4 cats 2 weeks ; 12:6 D) 16 cats 3 weeks ;16:3

Answer 1

So, you have 40 cats rescued in 5 weeks, right? Your first number is 40, second is 5, so you do 40/5==8, or 8:1 if you need a ratio (since you're going to have 8 cats per 1 week). Just from that first part, you can pick A. Then you have that 24:3 nonsense at the end of your answer choice; multiply your 8:1 by numbers until you get your 24:3 to see if it matches up.
2(8:1)=16:2
3(8:1)=24:3
4(8:1)=32:4
............
and you keep going. You're keeping your same ratio because if you divide your first number by your second number, you're still gonna get 8:1 (8 cats 1 week)

Answer 2

A) 8 cats 1 week ; 24:3

40/5 = 8 you can double check the ratio 24/3=8

Hope that helps