Ashop has one-pound bags of peanuts for $2 and three-pound bags of peanuts for $5.50 if you buy 5 bags and spend $17 how many of each size bag did you buy

Answer

Find out the  how many of each size bag did you buy .

To proof

Let us assume that the one-pound bags = x

Let us assume that the three-pound bags = y

As given

if you buy 5 bags

than the equation becomes

x +  y = 5

As given

a shop has one-pound bags of peanuts for $2 and three-pound bags of peanuts for $5.50

if you buy 5 bags and spend $17

than the equation becomes

2x + 5.50y =  17  

2x + 5.50y = 17

than the two equation are

2x + 5.50y = 17 and x +  y = 5

mulitply  x +  y = 5 by 2 and subtracted from 2x + 5.50y = 17

2x - 2x + 5.50 y - 2y = 17 - 10

3.5y = 7

y = 2

put y = 2 in  x +  y = 5

x = 5 -2

x = 3

Therefore  one-pound bags of peanuts bags are 3 and three-pound bags of peanuts bags are 2 .

Hence proved

ou would have 12 of each