Question

Wel and George each have a packet of 20 seeds. They are planting seeds in different rows of a garden. Each row is 10 yards long. Wel plants a seed every 4 feet, starting 4 feet from the end of her row. George plants a seed every 2 yards, starting 2 yards from the end of his row. What is the greatest number of full rows that each person can plant using just their packet of seeds? Enter the answers in the boxes. Wei can plant full rows. George can plant full rows.​

Answer 1

a) Wel can plant four full roes

b) George can plant five full rows

Explanation:

The number of seeds in the packet of seeds Wel and George have, n = 20 seeds each

The length of each row of the garden = 10 yards = 30 feet

The distance between the seeds Wel plants, d = 4 feet

The point at which Wel starts to plant the seeds = 4 feet from the end of the row

The distance between the seeds George plants = 2 yards

The point George starts to plant the seeds = 2 yards from the ends his row

Therefore, we have;

a) The length of each row Wel plants her seeds, l = 10 yd. - 4 ft. = 26 ft.

The number of seeds she plants per row = The whole number part of l/d

l/d = 26 ft./(4 ft./seed) = 6.5 seeds

∴ The number of seeds she plants per row, s = 6 seeds

The number of rows Wels plants her seeds, r = The next whole number of the ratio, n/s =

n/s = 20/6 = 3.
`\overline 3`

∴ The number of rows Wels plants 4 full rows

Therefore;

Using just her packet of seeds, Wels can plant four rows in the garden

b) The length of each row George plants his seed = 10 yd. - 2 yd. = 8 yd.

The number of seeds he plants per row = 8 yd./row/(2 yd./seed) = 4 seeds/row

The number of rows he plants his seeds = 20 seeds/(4 seeds/row) = 5 rows

The number pf rows George plants his seeds = 5 rows

Using just his packet of seeds, George can plant 5 full rows