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In Mathematics / High School | 2014-04-28

You are purchasing jeans and t-shirts. Jeans cost $35, and t-shirts cost $15. You plan on spending $115 and purchasing a total of 5 items. How many pairs of jeans and how many t-shirts will you buy?

Asked by gorei

Answer (3)

The answer is 2 jeans 3 t-shirts Because jeans are £35 so £35x2=£70 T-shirt are £15 so £15x3=£45 £45+£70=£115

Answered by shanecooldude | 2024-06-10

To figure out how many pairs of jeans and t-shirts you will buy, we need to set up a system of equations based on the information provided. We know that jeans cost $35 and t-shirts cost $15. The total amount you want to spend is $115, and you are buying a total of 5 items.
Let's assign variables: Let J represent the number of jeans and T the number of t-shirts. We can then create two equations based on the given information.
Equation 1: The total cost equation 35J + 15T = 115
Equation 2: The total quantity equation J + T = 5
Now, we can solve this system of equations. One way is to solve the second equation for one variable and substitute into the first. Solving the second equation for T gives us T = 5 - J. Plugging this into the first equation:
35J + 15(5 - J) = 115 35J + 75 - 15J = 115 20J = 115 - 75 20J = 40 J = 2
Now that we know J = 2, we can find T by substituting J back into T = 5 - J:
T = 5 - 2 T = 3
So, you will buy 2 pairs of jeans and 3 t-shirts.

Answered by GuyPearce | 2024-06-24

You will buy 2 pairs of jeans and 3 t-shirts. This is determined by solving a system of equations based on your budget and total number of items. The equations account for the prices of the jeans and t-shirts and allow you to find the quantities of each.
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Answered by GuyPearce | 2024-09-30