Indirect proportion
It takes two people ninety minutes to plant 66 flower bulbs. At this rate, how many bulbs could three people plant in three hours?
We can start the problem by using ratios. Let x be the number of bulbs that three people can plant in three hours. Since the number of people and the time are changing, we can assume that the rate of planting (i.e. bulbs per minute) is constant.
The rate of planting for two people is:
66 bulbs / 90 minutes = 0.733 bulbs per minute
Using the same rate, the number of bulbs that three people can plant in one minute is:
x bulbs / (3 hours x 60 minutes) = 0.733 bulbs per minute
Simplifying this expression, we get:
x = 0.733 bulbs per minute x 3 hours x 60 minutes
x = 131.94 bulbs
Therefore, three people can plant about 132 bulbs in three hours.
To solve this problem, we can use the concept of indirect proportion.
Step 1: Determine the relationship between the number of people and the number of bulbs planted.
In this case, we have two people planting 66 bulbs in 90 minutes.
Step 2: Simplify the relationship by finding the common multiplier.
Since the relationship is indirect, we can write it as:
2 people ---> 66 bulbs
1 person ---> 66 bulbs รท 2 = 33 bulbs
Step 3: Determine how much time it takes for one person to plant 33 bulbs.
We know that 1 person can plant 33 bulbs in 90 minutes.
Step 4: Calculate how many bulbs three people can plant in one hour.
Since there are three people, we need to multiply the number of bulbs by 3:
33 bulbs x 3 = 99 bulbs
Step 5: Calculate how many bulbs three people can plant in three hours.
Since they can plant 99 bulbs in one hour, we need to multiply the number of bulbs by 3 (hours):
99 bulbs x 3 = 297 bulbs
Therefore, three people can plant 297 bulbs in three hours at this rate.