green park is adding 236 plants this spring. One hundred fifty of them will flower. The rest will not flower. Use this information to answer question.
1) 1/3 of the flowering plants will have yellow flowers and 1/4 of the flowering plants will have white flowers. What fraction of the flowers will be yellow or white?
2) Flowering plants are going to be planted along a 5-foot pathway. A plant will be placed at each end of the pathway. The plants need 6 inches between them. How many flowering plants will be needed?
3) The groundskeeper watered 1/5 of the plants in the morning and 3/10 of the plants in the evening. What fraction of the plants has been watered?
To answer these questions, we need to break down the information given and perform some calculations. Let's tackle each question one by one:
1) First, let's find out how many flowering plants there are. We know that out of the 236 plants, 150 will flower. Thus, the fraction of flowering plants is 150/236.
a) To find the fraction of flowering plants with yellow flowers, we multiply the fraction of flowering plants by the fraction with yellow flowers. So, (150/236) * (1/3) gives us how many of the flowering plants have yellow flowers.
b) To find the fraction of flowering plants with white flowers, we multiply the fraction of flowering plants by the fraction with white flowers. So, (150/236) * (1/4) gives us how many of the flowering plants have white flowers.
To find the fraction of flowers that will be yellow or white, we add the fractions calculated in parts a) and b).
2) For this question, we need to calculate how many flowering plants will be needed to be placed along the 5-foot pathway. We know that a plant will be placed at each end of the pathway, leaving a space of 6 inches (or 0.5 feet) between each plant.
To find the number of plants needed, we need to calculate the number of gaps between plants and add 1 to account for the plants at the ends of the pathway.
The length of the pathway is 5 feet, and each plant needs 0.5 feet of space. So, we divide the length of the pathway by the space needed between plants (5 / 0.5), and add 1 to account for the plants at the ends.
3) To find the fraction of plants that have been watered, we need to add the fractions of plants watered in the morning and in the evening. We are given that 1/5 of the plants were watered in the morning and 3/10 of the plants were watered in the evening. So, we add these two fractions.
By following these steps, we can find the answers to all three questions using the given information and calculations.
1) To find the fraction of the flowers that will be yellow or white, we need to calculate the sum of the fractions of flowering plants with yellow and white flowers.
Fraction of flowering plants with yellow flowers = 1/3
Fraction of flowering plants with white flowers = 1/4
To find the total fraction of flowers that will be yellow or white, we can add these fractions:
1/3 + 1/4 = (4/12) + (3/12) = 7/12
Therefore, the fraction of the flowers that will be yellow or white is 7/12.
2) The plants need to be placed along a 5-foot pathway with 6 inches of space between them. First, let's convert the pathway measurements into inches for consistency.
5 feet = 5 * 12 inches = 60 inches
Next, we need to calculate how much space is needed for each pair of plants:
Space between two plants = 6 inches
The total space needed for each pair of plants is twice the space between them:
Total space needed for each pair = 2 * 6 inches = 12 inches
To find out how many pairs of plants can fit on the pathway, we can divide the total pathway length by the space needed for each pair:
Number of flowering plant pairs = 60 inches / 12 inches = 5 pairs
Since each pair consists of two plants, we need to double the number of pairs to find the total number of flowering plants needed:
Total number of flowering plants = 5 pairs * 2 = 10 flowering plants
Therefore, 10 flowering plants will be needed along the pathway.
3) To find the fraction of plants that have been watered, we need to calculate the sum of the fractions of plants watered in the morning and evening.
Fraction of plants watered in the morning = 1/5
Fraction of plants watered in the evening = 3/10
To find the total fraction of plants that have been watered, we can add these fractions:
1/5 + 3/10 = (2/10) + (3/10) = 5/10 = 1/2
Therefore, the fraction of plants that have been watered is 1/2.