The price of chips is $ 0.75, the price of a hot dog is $ 2 and the price of a soft drink is $ 1.25.
Step-by-step explanation:
Given,
A customer buys 4 hot dogs, 3 bags of potato chips, and 4 soft drinks for $15.25.
The price of a hot dog is $1.25 more than the price of a bag of potato chips.
The cost of a soft drink is $2.75 less than the price of two hot dogs.
To find the cost of each item.
Let,
The price of chips = x
The price of a hot dog = x+1.25
Price of two hot dog = 2(x+1.25) = 2x+2.5
The price of a soft drink = 2x+2.5-2.75 = 2x-0.25
Now,
According to the problem,
4(x+1.25)+3x+4(2x-0.25) = 15.25
or, 15x+5-1 = 15.25
or, 15x = 11.25
or, x = 0.75
Hence,
The price of chips = $ 0.75
The price of a hot dog = $ 0.75+1.25 = $ 2
The price of a soft drink = $ 2×0.75-0.25 = $ 1.25
