Do these ratios form a proportion?
9 old surfboards for every 17 new surfboards
40 old surfboards for every 63 new surfboards
To determine if the ratios form a proportion, we need to compare the two ratios and see if they are equal.
First ratio: 9 old surfboards / 17 new surfboards
Second ratio: 40 old surfboards / 63 new surfboards
To simplify the ratios, we can divide both the numerator and the denominator of each ratio by their greatest common divisor.
For the first ratio:
9 old surfboards / 17 new surfboards = (9 ÷ 1) / (17 ÷ 1) = 9/17
For the second ratio:
40 old surfboards / 63 new surfboards = (40 ÷ 8) / (63 ÷ 9) = 5/9
Since 9/17 is not equal to 5/9, these ratios do not form a proportion.