Algebra help
posted by Sam .
Dave buys 3 green peppers and 2 red peppers for $3.45. Ruth buys 4 green peppers and 3 red peppers for $ 5.00. Find the price of each variety of pepper.

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
12x9y = 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.
Respond to this Question
Similar Questions

Math help storie problem
Dave buys 3 green peppers and 2 red peppers for $3.45. Ruth buys 4 green peppers and 3 red peppers for $ 5.00. Find the price of each variety of pepper. 
Please HELP with this storie problem
Dave buys 3 green peppers and 2 red peppers for $3.45. Ruth buys 4 green peppers and 3 red peppers for $ 5.00. Find the price of each variety of pepper. 
Algebra 11th
Activity 1: Graphing To fill an order for Sizzlin' Sauce sauces, you bought 1050 green peppers and 1200 hot chili peppers. • Write and graph a system of inequalities to represent how many pints of each kind of sauce you can make. … 
Algebra 2
sauce 1: 5 green peppers + 4 hot peppers sauce 2: 4 green peppers + 8 hot peppers I have 1050 green peppers and 1200 hot peppers Profit sauce 1 :$1.20 Profit sauce 2: $ 1.00 I made a system of inequalities: 5x +4y > 1 4x +8y > … 
math
Meredith picked 4 times as many green peppers as red peppers. If she picked a total of 20 peppers, how many green peppers did she pick? 
math
Freya doesn't like peppers, so she grew 0 peppers in her garden. She divided the peppers equally among her 4 cousins. How many peppers did each cousin get? 
Math
Number of packages of red peppers to number of packages of green packages is ratio of 8:13. Peppers are sold in 2pound packages. What is the least possible weight of red peppers in bin? 
mathematics
In a truck of red and green peppers the ratio of red peppers to green peppers is 3:4.if the truck contains 120 green peppers,how many red peppers are there? 
math
Mel had picked 4 times as many green peppers as red. She picked a total of 20 peppers. How many green peppers did she pick 
math
meredith picked 4 times as many green peppers as red peppers. If she picked a total of 20 peppers, how many green peppers did she pick?