Shelly has $175 to shop for jeans and sweaters, Each pair of jeans costs $25, each sweater costs $20, and she buys 8 items. Determine the number of pairs of jeans and sweaters Shelly bought.
Let's assume Shelly bought "x" pairs of jeans and "y" sweaters.
According to the given information, each pair of jeans costs $25 and each sweater costs $20.
So the total cost of jeans would be 25x dollars and the total cost of sweaters would be 20y dollars.
We also know that Shelly bought a total of 8 items.
Therefore, the total number of items bought is the sum of the number of jeans and the number of sweaters, which is x + y = 8.
The total cost of the jeans and sweaters combined should be equal to the $175 Shelly has.
So, we can set up the equation: 25x + 20y = 175.
Now we have a system of two equations:
x + y = 8 ----(1)
25x + 20y = 175 ----(2)
To determine the values of x and y, we can solve this system of equations.
Multiplying equation (1) by 20, we get: 20x + 20y = 160.
Now, subtracting this equation from equation (2), we have:
25x - 20x + 20y - 20y = 175 - 160
5x = 15
Dividing both sides of the equation by 5, we get:
x = 3.
Substituting the value of x in equation (1), we can find the value of y:
3 + y = 8
y = 8 - 3
y = 5.
Therefore, Shelly bought 3 pairs of jeans and 5 sweaters.
To determine the number of pairs of jeans and sweaters Shelly bought, we need to create an equation based on the given information.
Let's assume Shelly bought x pairs of jeans and y sweaters.
Since each pair of jeans costs $25, the total cost of jeans would be 25x. Similarly, the total cost of sweaters would be 20y.
We know that the total cost of jeans and sweaters combined is $175. So we can write the equation as:
25x + 20y = 175
We also have another clue that Shelly bought a total of 8 items. Since each pair of jeans and sweater is counted as an individual item, we can write another equation as:
x + y = 8
Now we have a system of equations. We can solve this system using substitution or elimination method.
Let's solve it using the elimination method:
Multiply the second equation by 20 to make the coefficients of y in both equations equal:
20x + 20y = 160
Now subtract the second equation from the first equation:
(25x + 20y) - (20x + 20y) = 175 - 160
Simplifying the equation:
5x = 15
Divide both sides by 5:
x = 3
Substitute the value of x into the second equation:
3 + y = 8
Subtract 3 from both sides:
y = 5
Therefore, Shelly bought 3 pairs of jeans and 5 sweaters.
Shelly has $175 to shop for jeans and sweaters. Each pair of jeans costs $25, each sweater costs $20, and she buys 8 items. Determine the number of pairs of jeans and sweater Shelly bought.
Solution: Make 2 equations out of the problem
ex. X for jeans y for sweater
175= 25x=20y the price of the all the jeans + the price of all the sweater= 175 dollars
8=x-y the number of jeans and sweater = the number of item
get X by itself and use substitution
8-y=x now substitute it in the first problem
175=(8-Y)=20y
175=200-25Y+20Y now combine like term
175=200-5Y get y by itself first - 200 on both side the divide -5 on both to get y by itself and your answer is the number of sweater
Now plug the 5 in the second equation 8=y+x now plug in 5 for Y
8=5+x -5 on both side to find the number of jeans
Hope u get this !!!!