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
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