Final answer:
To find the number of garbage cans needed for a small park with 63 picnic tables, set up a proportion using the ratio 9:5. The number of garbage cans is 35. For a large park with 144 picnic tables, set up a proportion using the same ratio. The number of garbage cans is approximately 80.
Step-by-step explanation:
To find out how many garbage cans are needed for a small park with 63 picnic tables, we can set up a proportion using the given ratio. The ratio of picnic tables to garbage cans is 9:5, so we can set up the proportion as:
9/5 = 63/x
Cross multiplying, we get:
9x = 63 * 5
Dividing both sides by 9, we get:
x = (63 * 5) / 9
Calculating, we find that x = 35. Therefore, 35 garbage cans are needed for the small park.
For the large park with 144 picnic tables, we can set up a similar proportion:
9/5 = 144/y
Cross multiplying, we get:
9y = 144 * 5
Dividing both sides by 9, we get:
y = (144 * 5) / 9
Calculating, we find that y ≈ 80. Therefore, approximately 80 garbage cans are needed for the large park.
Word ratios for each scenario:
For the small park, the word ratio is 63 picnic tables to 35 garbage cans.
For the large park, the word ratio is 144 picnic tables to approximately 80 garbage cans.