Problema Solution
Orange juice, a raisin bagel, and a cup of coffee from Kelly's Koffee Kart cost a total of $3.00. Kelly posts a notice announcing that, effective the following week, the price of orange juice will increase 50% and the price of bagels will increase 20%. After the increase, the same purchase will cost a total of $3.75, and the orange juice will cost twice as much as coffee. Find the price of each item before the increase.
Answer provided by our tutors
Let
x = the original price of orange juice
y = the original price of raisin bagel
z = the original price of cup of coffee
x + y + z = 3.00
1.50x + 1.20y + z = 3.75
1.50x = 2z
........
click here to see the system solved for x, y and z
........
x = $1.00
y = $1.25
z = $0.75
The prices before the increase are: the orange juice is $1.00, the raisin bagel is $1.25 and the cup of coffee is $0.75.