Ronnie collects horseshoes and hand grenades and placesthem in bags inside his room. One bag has 3 horseshoes and 7 grenades and weighs 32 pounds. Another bag contains 6 horseshoes and 2 grenades and weighs 22 pounds. Define the variables for this problem, write a system of equations and then find out how much 1 grenade weighs.
3 s + 7 h = 32 s = shoes h= hand grenades
6 s + 2 h = 22 Multiply first equation by -2 and add to second equation to get :
-12 h = -42
h = 3.5 pounds