Posted by Sam on Thursday, December 13, 2012 at 3:06pm.
This is one of those problems where you have to set up the peppers as variables. Lets say green peppers are "x" and red peppers are "y".
You can then make up a systems of equations to solve for each variable.
Dave:
3x + 2y = 3.45
and
Ruth:
4x + 3y = 5.00
Now in order to solve each other you can use two techniques: one is to eliminate one term and solve for the other, or do substitution method.
I'm going to do the first one:
Now you can either cancel the "x" or "y" term. I'll choose "x"
Now in order to cancel, they have to be equal, but also one of them has to be a negative value.
So:
4(3x+2y) = 4(3.45)
-3(4x+3y) = -3(5.00)
If you add each up you'd get:
12x+8y = 13.8
-12x-9y = -15
Which would end up being:
-y = -1.2
So y = $1.2
Now you can plug "y" back into any equation.
I'll pick Dave's:
3x + 2(1.2) = 3.45
So 3x + 2.4 = 3.45
3x = 1.05
x = $0.35
Now since we said x is green and y is red:
Green Peppers are 35 cents, and Red Peppers are 1.2 dollars.
In order to check, you can sub the x and y into Ruth's equation.
Related Questions
Please HELP with this storie problem - Dave buys 3 green peppers and 2 red ...
Math help storie problem - Dave buys 3 green peppers and 2 red peppers for $3.45...
math - the grocer puts 3 green peppers in each of 8 packages. He puts 5 green ...
math - Mary bought some peppers and apples at the farmer's market. 2/3 of ...
Language - are the nouns in the following sentence, toppings, pepperoni, Italian...
health - is green peppers vitamin c?
8th grade Math - Can you please check my answers? Wally ordered a pizza. He ...
algebra - bobs garden is a 20 ft times 10 ft rectangle . bob plants tomatoes in ...
English Expression - There are a lot of side dishes on the table such as cooked ...
Math - A recipe calls for 2/3 cups of green peppers. What would it be if you ...
For Further Reading
