SOLUTION: Myriam asked everyone to donate pennies or soft drink cans worth $0.05 each. Myriam collected 3 times as many cans as pennies. Her father rewarded her efforts by giving her an amou

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Question 754617: Myriam asked everyone to donate pennies or soft drink cans worth $0.05 each. Myriam collected 3 times as many cans as pennies. Her father rewarded her efforts by giving her an amount of money equal to the value of what she had collected. On her next visit to the hospital, she will donate $70.08 to the foundation. How many soft drink cans and pennies did she collect?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Half of what she donated to the hospital was from
collecting pennies and cans.
+70.08+%2F+2+=+35.04+
Let +p+ = number of pennies she collected
Let +c+ = number of cans she collected
---------------
given:
(1) +c+=+3p+
(2) +.01p+%2B+.05c+=+35.04+
-------------------------
Substitute (1) into (2)
(2) +.01p+%2B+.05%2A3p+=+35.04+
(2) +.01p+%2B+.15p+=+35.04+
(2) +.16p+=+35.04+
(2) +p+=+35.04+%2F+.16+
(2) +p+=+219+
and, since,
(1) +c+=+3p+
(1) +c+=+3%2A219+
(1) +c+=+657+
She collected 219 pennies and 657 cans
check:
(2) +.01p+%2B+.05c+=+35.04+
(2) +.01%2A219+%2B+.05%2A657+=+35.04+
(2) +2.19+%2B+32.85+=+35.04+
(2) +35.04+=+35.04+
OK