A vendor sells hot dogs and bags of potato chips. A customer buys 3 hot dogs and 4 bags of potato chips for $6.00. Another customer buys 5 hot dogs and 5 bags of potato chips for $8.75. Find the cost of each item.
+128408 Let x be the cost of a hot dog and y be the cost of a bag of potato chips
We have this system :
3x + 4y = 6
5x + 5y = 8.75
Divide the second equation through by 5
x + y = 1,75 rearrange as
y = 1.75 - x
Sub this into first equation for y
3x + 4 ( 1.75 - x) = 6
3x + 7 - 4x = 6
-x + 7 = 6 subtract 7 from both sides
-x = -1
x =1
A hot dog costs $1
And a bag of potato chips costs 1.75 - 1 = .75 = 75 cents
