Problema Solution

One day, Mrs Rubero paid $18.70 for 4 pounds of brown rice and 3 pounds of basmati rice. The next day, Mrs. Smith paid $13.30 for 3 pounds of brown rice and 2 pounds of basmati rice. If the prices were the same on each day, find the price per pound for each type of rice.

Answer provided by our tutors

let


x = the price per pound of brown rice

y = the price per pound of basmati rice


Mrs Rubero paid $18.70 for 4 pounds of brown rice and 3 pounds of basmati rice


4*x +3*y = 18.70


Mrs. Smith paid $13.30 for 3 pounds of brown rice and 2 pounds of basmati rice


3*x + 2*y = 13.30


by solving the system of equations


4*x +3*y = 18.70

3*x + 2*y = 13.30


we find


x = $2.5 per pound


y = $2.9 per pound


the price of the brown rice is $2.5 per pound.

the price of the basmati rice is $2.9 per pound.