SOLUTION: How many grams of solder that is 13.5% tin must be mixed with 70 grams of solder that is 72% tin in order to have a solder that is 50.5% tin. Express your answer to three signific

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Question 1168488: How many grams of solder that is 13.5% tin must be mixed with 70 grams of solder that is 72% tin in order to have a solder that is 50.5% tin.
Express your answer to three significant digits.
Record the numeric part of your answer only. DO NOT include units.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
L = 13.5%
T = 50.5%
H = 72%
M = 70 grams
p=unknown amount of the H % material
M-p the amount of the L % material

Hp%2BL%28M-p%29=MT
-
Hp-Lp%2BML=MT
%28H-L%29p=MT-ML
p=%28MT-ML%29%2F%28H-L%29
highlight%28p=M%28%28T-L%29%2F%28H-L%29%29%29
Substitute the given values and evaluate p and M-p.