The price of 5 kilograms of premium fertilizer is the same as the price of 16 kilograms of regular ...
The price of 5 kilograms of premium fertilizer is the same as the price of 16 kilograms of regular fertilizer. If the price of premium fertilizer is y cents per kilogram more than the price of regular fertilizer, what is the price, in cents, per kilogram of premium fertilizer?
Answer/Solution
16y/11
Steps/Work
Usingpfor premium andrfor regular, I got two equations from the question stem:
5p = 16r and p = r+y
Substitute for p: 5(r+y) = 16r
Distribute: 5r + 5y = 16r
Subtract 5r from both sides: 5y = 11r
Plug back into the first equation: 5p = 16(5y/11)
Distribute: 5p = 80y/11
Divide both sides by 5: p = 16y/11
The answer is E.
5p = 16r and p = r+y
Substitute for p: 5(r+y) = 16r
Distribute: 5r + 5y = 16r
Subtract 5r from both sides: 5y = 11r
Plug back into the first equation: 5p = 16(5y/11)
Distribute: 5p = 80y/11
Divide both sides by 5: p = 16y/11
The answer is E.