# math

posted by .

A farm sells boxes of oranges for \$8 and boxes of grapefruits for \$12. The farm wants to ear at least 4,000.

If he sells 210 boxes of oranges and 150 boxes of grapefruit will he earn at least \$4,000? If not how many more boxes of oranges must he sell to make up the difference? Write an inequality to represent the situation.

• math -

• math -

i need an inequality and how many more boxes of oranges he will need to make up the difference.

• math -

well, do it this way (it is called linear programming).

Take a piece of paper, and make a large graph. On the horizontal axis, label that grapfruits. Scale starting at zero and ending at 400. On the vertical scale, label it oranges, acale from zero to 500.

After you do that, then

now, if the person sold only grapefruit, to get 4000 dollars, he would sell (4000/12 = 333 boxes. Label that point on the horizontal axis. On the vertical axis, label the max number of oranges (4000/8=500) Now connect those two points with a line. To sell 4000 dollars worth, he must be on the line, if to the right, he sells more, if to the left, he sells less.
Now, to answer the question about how many more oranges. Go from the point 150,210 upward till you are at the line you drew. The distance upward is the number of additional oranges.
Now for the inequality, look at the line you drew. oranges/500 + grapefruit/333 >= 1 check that

## Similar Questions

1. ### College Algebra

4. Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for the specified variable. Don runs a charity fruit sale, selling boxes of oranges …
2. ### math

three boxes are in a room. You know that one contains apples, one centains oranges, and one contains a mixture of apples and oranges, but you don't know the contents of the specific boxes. The boxes are labeled "apples","oranges", …
3. ### math

3 boxes are in a room. You know that one contains apples, one contains oranges, and one contains both apples and oranges, nut you don't know the contents of the specific boxes. The boxes are labeled, "apples," "oranges," and "apples …
4. ### math 3

A fruit farm sells a 10 lb box of navel oranges for \$42. If the farm sells 374 of these boxes, how much money will it make?

sara wants to know how many boxes of cookies her entire girl scout troop sold. How could she use compatible numbers to find the sum?
6. ### math

Camp Oaks gets 32 boxes of orange juice and 56 boxes o apple juice.Each shelf in the cupboard can hold 8 boxes of juice. What is the least number o shelves needed for all the juice boxes?
7. ### Pre-Algebra

Write a linear system of equations that can be used to solve these problems. Then, solve to get your final answer. Please help me work through this. 4. The difference of two numbers is 3. Their sum is 13. Find the numbers. 5. Matt …
8. ### Algebra

Write a linear system of equations that can be used to solve these problems. Then, solve to get your final answer. I need someone to help me go through this and point me into the correct direction. 5. Matt and Michelle are selling …
9. ### Math

Hi I am after some help starting this question. A local hardware store sells three types of boxes; small, medium and large. The cost of the boxes are; small \$10, medium \$20 and large \$30. In the previous week a total of 1200 boxes …
10. ### Math--linear systems

A local hardware store sells three types of boxes; small, medium and large. The cost of the boxes are; small \$10, medium \$20 and large \$30. In the previous week a total of 1200 boxes were sold resulting in proceeds of \$20 000 for the …

More Similar Questions