SOLUTION: joe has collection of nickles and dimes woth 7.05. if number of dimes were doubled adn number of nickles were increased by 8 the value would be 11.75 how many dimes does he have

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Question 373729: joe has collection of nickles and dimes woth 7.05. if number of dimes were doubled adn number of nickles were increased by 8 the value would be 11.75 how many dimes does he have
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let n = number of nickels Joe has
Let d = number of dimes Joe has
given:
(1) 5n+%2B+10d+=+705 (in cents)
10%2A%282d%29+%2B+5%2A%28n+%2B+8%29+=+1175 (in cents)
20d+%2B+5n+%2B+40+=+1175
(2) 5n+%2B+20d+=+1135
Subtract (1) from (2)
(2) 5n+%2B+20d+=+1135
(1) -5n+-+10d+=+-705
10d+=+430
d+=+43
He has 43 dimes
And, since
(1) 5n+%2B+10d+=+705
(1) 5n+%2B+10d+=+705
5n+=+705+-+430
5n+=+275
n+=+55
check answer:
10%2A%282d%29+%2B+5%2A%28n+%2B+8%29+=+1175
10%2A86+%2B+5%2A63+=+1175
860+%2B+315+=+1175
1175+=+1175
OK