Sarah plants 760 vines in rows containing either 20 vines or 25 vines. There are 3 times as many rows containing 25 vines as the

Question

3 years ago

7

re are rows containing 20 vines. How many rows contain 25 vines

1 answer:

bogdanovich [222] · Answer 1 · 2022-07-14T00:38:08+03:00

Answer: 27 rows contain 25 vines.

Step-by-step explanation:

Let x represent the number of rows that contain 20 vines.

Let y represent the number of rows that contain 25 vines.

Sarah plants 760 vines in rows containing either 20 vines or 25 vines. This means that

20x + 25y = 760- - - - - - - - - - -1

There are 3 times as many rows containing 25 vines as there are rows containing 20 vines. This means that

y = 3x

Substituting y = 3x into equation 1, it becomes

20x + 25 × 3x = 760

20x + 75x = 760

95x = 760

x = 760/95

x = 9

y = 3x = 3 × 9

y = 27