Problema Solution
A vendor sells hot dogs and bags of potato chips. A customer buys 4 hot dogs and 2 bags
of potato chips for $9.00. Another customer buys 5 hot dogs and 3 bags of potato chips for
$11.75. Find the cost of each item.
Answer provided by our tutors
Let x be the cost of a hot dog and y be the cost of a bag of potato chips. This gives us the system:
4x +2y = 9. . . . . . . . . . . .(1)
5x + 3y = 11.75. . . . . . . . . . . . . . .(2)
Multiplying (1) by 3 and (2) by 4 gives:
12x + 6y = 27. . . . . . . . . .(3)
10x + 6y = 23.5. . . . . . . . . . . .(4)
Subtracting (3) from (4) gives x = 1.75.
put value of X in eqn 1
y=1
hence cost of hot dogs =$1.75 and and cost of bags of potato chips=1