1. Questions

Algebra

A farmer plans to plant 270 acres of his farm with wheat and soybeans. For every 2 acres of land planted with soybeans, the farmer wants to plant 7 acres of land with wheat. The farmer uses the following system of equations to determine how many acres of each crop he should plant.

w + s = 270
7s - 2w = 0
w is the number of acres planted with wheat, and s is the number of acres planted with soybeans.
How many acres should the farmer plant with soybeans?

I came up with 52
Is this correct?

  1. 👍
  2. 👎
  3. 👁
mary

  1. easier way:
    the ratio of soybeans : wheat = 2 : 7

    let the number of acres of soybeans be 2x
    let the number of acres of wheat be 7x

    2x + 7x = 270
    9x = 270
    x = 30

    so acres of soybeans = 2(30) = 60
    acres of wheat = 7(30) = 210

    1. 👍
    2. 👎
    Reiny

  2. 7(2+3x)+8

    1. 👍
    2. 👎
    Anonymous

Respond to this Question

First Name

Your Response

Similar Questions

  1. History

    “...[The] said Cooper Hughs Freedman with his wife...are to work on said farm and to cultivate forty acres in corn and twenty acres in cotton, to assist in putting the fences on said farm in good order and to keep them so and to

  2. math

    1. A farmer has 100 acres of land on which she plans to grow wheat and corn. Each acre of wheat requires 4 hours of labor and $20 of capital, and each acre of corn requires 16 hours of labor and $40 of capital. The farmer has at

  3. math

    A farmer plants corn and wheat on a 180-acre farm. The farmer wants to plant three times as many acres of corn as wheat. Write a system of linear equations that represents this situation. Use xx to represent the number of aces of

  4. Math

    For each situation first write and equation in the form of y=mx + b. Then solve each problem. A farm has 75 acres of wheat. The farmer can harvest the wheat from 12 acres per day. In how many days will all of the fields be

  1. Math

    A farmer plants 0.4 of a field with a wheat. The field is 3.45 acres in size. How many acres are planted with wheat ? A ( 0.126) B ( 0.138) C ( 1.26) D ( 1.38 )

  2. algebra 1a

    A farmer grows corn and soybeans on her 300-acre farm. She wants to plant 110 more acres of soybeans than corn. How many acres of each crop does she need to plant? i need help with this asap!

  3. math

    A farmer is going to divide her 50 acre farm between two crops. Seed for crop A costs $50 per acre. Seed for crop B costs $25 per acre. The farmer can spend at most $2,250 on seed. If crop B brings in a profit of $90 per acre, and

  4. Social Studies

    Use the passage to answer the question. "…[The] said Cooper Hughs Freedman with his wife…are to work on said farm and to cultivate forty acres in corn and twenty acres in cotton, to assist in putting the fences on said farm in

  1. Us history please help

    The] said Cooper Hughs Freedman with his wife...are to work on said farm and to cultivate forty acres in corn and twenty acres in cotton, to assist in putting the fences on said farm in good order and to keep them so and to do all

  2. SS

    Use the passage to answer the question. "…[The] said Cooper Hughs Freedman with his wife…are to work on said farm and to cultivate forty acres in corn and twenty acres in cotton, to assist in putting the fences on said farm in

  3. Math problems

    a farmer plants .6 0f a field with peanuts. the field is 5.6 acres in size. how many acres are planted with peanuts

  4. Math

    A farmer is planting a straight row of crops with 3 feet between each plant. If 23 are planted, what is the distance between the first and last plant?

You can view more similar questions or ask a new question.