You are going to the mall with your friends and you have $200 to spend from your recent birthday money. You discover a store that has all jeans for $25 and all dresses for $50. You really, really want to take home 6 items of clothing because you "need" that many new things.

Respuesta :

Answer:

4 Jeans and 2 dresses

Step-by-step explanation:

25×4=100

50×2=100

You  want to take home 6 items of clothing. you can buy 4 jeans and 2 all dresses using 200 dollars .

Given :

You discover a store that has all jeans for $25 and all dresses for $50

Total of 6 items needed

Total amount you can spend is 200 dollars

Let x be the number of jeans and y be the number of all dresses

Lets frame equations using x  and y

Total of 6 items ,

[tex]x+y=6\\y=6-x[/tex]

all jeans is for  $25 and all dresses is for $50. total of 200 dollars can spend

[tex]25x+50y=200[/tex]

Substitute y=6-x in second equation

[tex]25x+50(6-x)=200\\25x+300-50x=200\\-25x+300=200\\-25x+300-300=200-300\\-25x=-100\\\frac{-25x}{-25}=\frac{-100}{-25}\\x=4[/tex]

Now substitute x=4 in first equation

[tex]y=6-x\\y=6-4\\y=2[/tex]

you can by 4 jeans and 2 all dresses

Learn more : brainly.com/question/12526075

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