Question 5033: a jar contains 5-gram bolts and 10-gram bolts. the contents of the jar weigh 2.35 KG (1000g=1KG). if there are 300 bolts altogether, how many are there of each kind?
Answer by Earlsdon(6294)   (Show Source):
You can put this solution on YOUR website! Let x = # of 5-gm bolts.
Let y = # of 10-gm bolts.
x + y = 300 The total number of bolts. Rewrite as: x = 300-y
5gm(x) + 10gm(y) = 2.35 kgm Substitute the x from above.
5gm(300-y) + 10gm(y) = 2,350 gm Simplify and solve for y.
1,500 gm - 5gm(y) + 10gm(y) = 2,350 gm Subtract 1,500 gm from both sides & simplify.
5gm(y) = 850 gm. Divide both sides by 5 gm.
y = 170 The number of 10-gm bolts.
x = 300-y
x = 300-170
x = 130 The number of 5-gm bolts.
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