SOLUTION: Your mother wants grapes and bananas for her fruit salad. You found out that grapes sells at Php 200 per kilogram and the banana sells at Php150 per kilogram. How many possible k

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Your mother wants grapes and bananas for her fruit salad. You found out that grapes sells at Php 200 per kilogram and the banana sells at Php150 per kilogram. How many possible k      Log On


   

Question 1174024: Your mother wants grapes and bananas for her fruit salad. You found out that grapes sells at Php 200 per kilogram and the banana sells at Php150 per kilogram. How many possible kilogram of each item, you will buy if the total cost is not to exceed Php 500?
Requirement for the Presentation of the Problem.
1. Representation of the given. (Ex. Let x be the no. of apple)
2. Systems of Linear Inequalities
3. Graph of the System of Linear Inequalities
4. Name two solutions of the system.
5. Time allotment: Maximum of 2 mins.
Found 2 solutions by CubeyThePenguin, ikleyn:
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x = the number of grapes, y = the number of bananas

There must be a positive amount of both fruits.

x > 0
y > 0
200x + 150y < 500

Two solutions are (1, 2) and (3/2, 1).

Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
.

x = the number of grapes, y = the number of bananas

There must be a non-negative amount of both fruits.

x >= 0
y >= 0
200x + 150y <= 500

Two solutions are (1, 2) and (3/2, 1).

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Notice the inequality signs   ( " >= "   and   " <= ")   in my solution (!) )