A bag contains 2 steel balls and 5 brass balls. The total weight is 13 pounds. If 2 steel balls are added and 2 brass balls are removed, the weight decreases to 12 pounds. How much does each kind of ball weigh?

Question

anonymous · Answer

@Vandreigan  can you help with this one?

anonymous · Answer

let x be steel balls
let y be brass balls
2x+5y=13
4x+3y=12

solve simulteneously

anonymous · Answer

I don't know how to do that :/ I'm in a GED class, I never learned this.

anonymous · Answer

We will call our equations
2x+5y=13    i
4x+3y=12    ii

we multiply equation i by 2 to get equation 3

4x+10y=26   iii

anonymous · Answer

We then subtract equation 3 from 2

4x+3y=12    ii
-
4x+10y=26   iii

-7y=-14

anonymous · Answer

y becomes 2

we sub 2 for y in equation 1

2x +(5*2)=13

and solve for x

anonymous · Answer

thank you!

anonymous · Answer

1.5, correct?

anonymous · Answer

yep
x=1.5

anonymous · Answer

2, yes?

anonymous · Answer

thank you so much

anonymous · Answer

m bad i realised we sloved earlier

anonymous · Answer

its okay!

anonymous · Answer

anytime