pennies.How many quarters, dimes and pennies are there respectively?
2007-02-12 15:31:13 · 2 answers · asked by k19widowmaker 1 in Science & Mathematics ➔ Mathematics
this is a tuffy i'm all confused
2007-02-12 15:41:20 · update #1
6 more quarters than dimes
2 more quarters than pennies
$3.70 total (quarter worth .25, dimes .10, pennies .01)
let q be your number of quarters
p the number of pennies and
d the number of dimes.
d= q-6
p = q-2
.25q + .10(q-6) + .01(q-2) = 3.70
.25q + .10q +.01q -.60 - .02 = 3.70
.36q - .62 = 3.70
.36q = 4.32
q = 12
d= q-6
d= 12-6
d= 6
p = q-2
p = 12-2
p = 10
q= 12 d = 6 p =10
12 quarters, 6 dimes, 10 pennies
check to see if it works
12*.25+6*.10+.10 = 3.70
2007-02-12 15:49:33 · answer #1 · answered by radne0 5 · 0⤊ 0⤋
.25q + .10d + .01p = 3.70
25q + 10d + p = 370
q = d + 6
d = q - 6
q = p + 2
p = q - 2
25q + 10(q - 6) + (q - 2) = 370
25q + 10q - 60 + q - 2 = 370
36q - 62 = 370
36q = 432
q = 12
d = 12 - 6 = 6
p = 12 - 2 = 10
ANS :
12 quarters, 6 dimes, 10 pennies
2007-02-13 00:13:37 · answer #2 · answered by Sherman81 6 · 0⤊ 0⤋