A pail containing 40 nails weighs 175 grams. The same pail with 20 nails weighs 95 grams. (every nail weighs the same).
How much does the pail weigh? How much does the nail weigh?
2007-09-09 04:23:30 · 5 answers · asked by Anonymous in Education & Reference ➔ Homework Help
First, set up two equations.
40 n + p = 175.
20 n + p = 95.
n is how much each nail weighs.
p is how much the pail weighs.
Subtract the two equations from each other and you get 20 n = 80.
Divide and you get 1 n = 4. So one nail equals four grams. Now put four for n into one of the original equations and solve.
20 (4) + p = 95
p = 15.
So the pail is 15 grams.
2007-09-09 04:36:52 · answer #1 · answered by Cathy G 3 · 0⤊ 0⤋
20 nails weigh (175-95) or 80 grams. The pail weighs (95-80) or 15 grams. Each nail weighs (80/20) or 4 grams.
To test this, multiply 40 by 4 (160) then add 15 (the weight of the pail) and you get the original 175 grams.
2007-09-09 11:32:10 · answer #2 · answered by Michael B 6 · 0⤊ 0⤋
n = mass of nail
p = mass of pail
p+ 40n = 175
p + 20n = 95
subtract the two equations
20n = 80
n = 4g
p + 40(4) = 175
p = 15g
2007-09-09 11:28:32 · answer #3 · answered by lloyd_taggart11 3 · 1⤊ 0⤋
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2007-09-09 11:34:58 · answer #4 · answered by Anonymous · 0⤊ 0⤋
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2007-09-10 03:52:50 · answer #5 · answered by Anonymous · 0⤊ 0⤋