Answer :
The ratios 12 bouquets for every 20 corsages and 9 bouquets for every 15 corsages are equivalent.
To determine if the ratios are equivalent, we need to simplify each ratio to its simplest form.
1. 12 bouquets for every 20 corsages: To simplify this ratio, we divide both numbers by their greatest common divisor (GCD), which is 4.
12 ÷ 4 = 3
20 ÷ 4 = 5
So, the simplified ratio is 3:5.
2. 9 bouquets for every 15 corsages: To simplify this ratio, we divide both numbers by their GCD, which is 3.
9 ÷ 3 = 3
15 ÷ 3 = 5
So, the simplified ratio is also 3:5.
Since both simplified ratios are 3:5, we can conclude that the ratios 12 bouquets for every 20 corsages and 9 bouquets for every 15 corsages are equivalent.
ANSWER
Yes, they are equivalent.
EXPLANATION
We can write them as fractions and simplify them:
[tex]\frac{\text{bouquets}}{\text{corsages}}[/tex]The first ratio is
