Ask your own question, for FREE!
Mathematics 10 Online
MarkSucks:

please help :o How many lb. of a metal containing 10% gold must be combined with 7 lb. of a metal containing 70% gold to form an alloy containing 52% gold?

Vocaloid:

if you have 7 lbs of metal, and 70% of it is gold, then it is 0.70*7 lbs of gold. same logic with the 10% metal. we don't know how much of the 10% metal we need, but we know it has 0.10*x lbs of gold together, this is 0.70*7 + 0.10x lbs of gold. in total, we have x + 7 lbs of gold so far. we know we want a 52% gold alloy. so we know that (amount of gold) / (amount of metal) * 100% must equal 52%. so our equation is (0.70*7 + 0.10x)/(x+7) = 0.52 and you can solve for x from here

MarkSucks:

where does x + 7 come from

Vocaloid:

we have: 7 lbs of the 70% alloy some unknown x lbs of the 10% alloy so total amount of metal = x + 7

Vocaloid:

should be have x + 7 lbs of total metal, not gold, that was my mistake

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
HeyItsAlicia: Why was questioncove not working??
4 hours ago 2 Replies 1 Medal
Countless7Echos: Ah trying out the whole T.V girl drawing :p (I love drawing eyes)
14 hours ago 14 Replies 6 Medals
kaelynw: starting to draw a hand
3 days ago 17 Replies 2 Medals
Twaylor: Rate it :D (Took 2 days)
1 week ago 7 Replies 0 Medals
XShawtyX: Art, Short Writing Assignment: Imagining Landscapes
2 days ago 9 Replies 1 Medal
XShawtyX: Chemistry, Help ud83dude4fud83cudffe
1 week ago 13 Replies 1 Medal
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!