At the supermarket, there are two kinds of flour packages. If you buy 5 packs of Package A and 6 packs of Package B, the total weight of flour is 85 kg; if you buy 10 packs of Package A and 4 packs of Package B, the total weight of flour is 90 kg. What is weight of each pack of Package A and Package B?
Accepted Solution
A:
Package A: 5kg, Package B: 10kg Use a system of equations to find the weight of each package. Set up two equations with the knowledge you know about the combined weight of the packages, using 'a' as the variable for Package A and 'b' as the variable for Package B.
5a + 6b = 85kg and 10a + 4b = 90kg
Take the second equation and solve for a, which you will use to substitute into first equation. Subtract 4b from both sides and divide everything by 10.
10a = 90kg - 4b a = 9kg - 2/5b
Plug a = 9kg - 2/5b into the equation 5a + 6b = 85kg.