Problema Solution
An average bagel contains 30 mg of calcium and 2 mg of iron. One ounce of cream cheese contains 25 mg of calcium and 0.4mg of iron. If Leyla wants to eat a combination of bagels and cream cheese that contains exactly 340 mg of calcium and 10 mg of iron, how much of each should she eat?
Answer provided by our tutors
let
b = the number of bagels Leyla should eat
c = the number of ounces that Leyla should eat
Leyla wants to eat a combination of bagels and cream cheese that contains exactly 340 mg of calcium and 10 mg of iron
the calcium from the bagels + the calcium from the cream cheese = 350 mg of calcium
30b + 25c = 340
the iron from the bagels + the iron from the cream cheese = 10 mg of iron
2b + 0.4c = 10
by solving the system of equations
30b + 25c = 340
2b + 0.4c = 10
we find
b = 3 bagels
c = 10 oz cream cheese
click here to see the step by step solution of the system of equations