Question

You designate one row in your garden to plant 15 broccoli and pea plants. Each broccoli plant needs 12 inches of space and each pea plant needs 6 inches of space. The row is 138 inches long. How many of each plant can you have?

A) 6 broccoli plants and 9 pea plants
B) 5 broccoli plants and 10 pea plants
C) 7 broccoli plants and 8 pea plants
D) 8 broccoli plants and 7 pea plants

Answer 1

The answer is D 8 broccoli plants and 7 pea plants.

Answer 2

To determine how many plants can be planted in the designated row, we need to calculate the space required for the plants and compare it to the available space. The correct combination is 6 broccoli plants and 9 pea plants.

Step-by-step explanation:

To determine how many of each plant can be planted in the designated row, we need to calculate the space required for the plants and compare it to the available space. Each broccoli plant needs 12 inches of space and each pea plant needs 6 inches of space. The total space required for 15 plants can be calculated as follows:

Total space required = (Number of broccoli plants x space per broccoli plant) + (Number of pea plants x space per pea plant)
= (15 x 12) + (15 x 6)
= 180 + 90
= 270 inches

Since the row is 138 inches long, it is not possible to plant all 15 plants. Therefore, we need to find the combination of plants that will fit within the available space. By trial and error, we can determine that the correct combination is 6 broccoli plants and 9 pea plants, which will require a total space of (6 x 12) + (9 x 6) = 144 + 54 = 198 inches.

Therefore, the correct option is A) 6 broccoli plants and 9 pea plants.