Question

me and my sister went shopping. I spent $120 on 3 pairs of jeans and 6 blouses. my sister spent $90 on 2 pairs of jeans and 5 blouses. what was the cost of 1 pair of jeans and the cost of 1 blouse? use the graphing method

Answer 1

Explanation:

using the graphing method, we can start by defining two variables: x = the cost of one pair of jeans, and y = the cost of one blouse. We can then set up two equations based on the information given:

3x + 6y = 120 (equation 1)

2x + 5y = 90 (equation 2)

To graph these equations, we can rewrite them in slope-intercept form:

y = (-1/2)x + 20 (equation 1')

y = (-2/5)x + 18 (equation 2')

You can see the graph i plotted.

The point where the two lines intersect represents the solution to the system of equations, which corresponds to the cost of one pair of jeans and the cost of one blouse. We can estimate this point by looking at the graph, or we can use a calculator to find the exact values. In this case, we get:

x = 10

y = 10

So, the cost of one pair of jeans is $10, and the cost of one blouse is $10 as well.

Answer 2

To solve this problem using the graphing method, we can set up a system of linear equations and graph them to find the intersection point, which will give us the cost of one pair of jeans and one blouse. Let's let x be the cost of one pair of jeans and y be the cost of one blouse. Then we have:

3x + 6y = 120

2x + 5y = 90

To graph these equations, we can rearrange them into slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Then we can graph each line using the slope and y-intercept.

3x + 6y = 120 can be rearranged as 6y = -3x + 120, which simplifies to y = (-1/2)x + 20.

2x + 5y = 90 can be rearranged as 5y = -2x + 90, which simplifies to y = (-2/5)x + 18.

Now we can graph these two lines on the same coordinate system:

|

30 --| /

| /

20 --| /

| /

10 --| /

+---------+

10 20 30

The intersection point of these two lines is the solution to the system of equations. We can see that the intersection point is approximately (14, 13), which means that one pair of jeans costs $14 and one blouse costs $13.

Therefore, using the graphing method, we can conclude that one pair of jeans costs $14 and one blouse costs $13.