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i have $11.60, all dimes and quarters, in my pocket. I have 32 more dimes than quaraters. How many dimes and how many quarter, do i have?

2007-05-29 04:26:29 · 11 answers · asked by sharizzle 1 in Science & Mathematics Mathematics

11 answers

11.60 = .1d + .25q
32+q = d

11.6 = .1(32+q) +.25q
11.6 = 3.2 + .1q + .25q
11.6 = 3.2 +.35q
8.4 = .35q
24 = q

32+q = d
32+24 = 56 dimes

24 quarters and 56 dimes!!!!!!!!!!!!!!! <-----------ANSWER

You take what the equation gives you. You know that there are 32 more dimes then quarters which can be written as 32+q = d where q is quarters and d is dimes.
You can also say that the total value is equal the number number time the price per cent which is .1d + .25q is equal to 11.6.

Solve for d and q and you will get the answer! GOOD LUCK ON YOUR FINALS

2007-05-29 04:33:37 · answer #1 · answered by A confused bio student 2 · 1 0

Set up a couple equations from the information given. Call d the number of dimes and q the quarters.

Since you have 11.60:

25*q + 10*d = 1160

The second part says:

q + 32 = d

Substitute your 2nd expression for d into the first:

25*q + 10*(q + 32) = 1160

Solve:

25*q + 10*(q + 32) = 1160
25*q + 10*q + 320 = 1160
35*q = 1160 - 320
q = (1160 - 320)/35 = 24
d = q + 32 = 56

You have 56 dimes ($5.60) and 24 quarters ($6.00) for $11.60.

2007-05-29 04:35:44 · answer #2 · answered by Pretzels 5 · 0 0

this can be solved using algebra
first convert $11.60 into cents = that makes 1160 cents
next, let the number of quarters you have be an unknown variable 'x'
if the number of quarters is 'x', then the question tells you that there are 32 MORE dimes than quarters. so the number of dimes must be 'x+32'
now, you need to express the VALUE of your coins (1160cents) in terms of the 'number' of coins you have.
so the value of the quarters = number of quarters*value of one quarter = x*25 cents
the value of dimes = number of dimes*value of a dime = (x+32)*10 cents
the total value is 1160 cents, so:
x*25 + (x+32)*10 = 1160 cents
when you solve this out for x, you get x=24
so you have 24 quarters (which makes 6 dollars) and 24+32=56 dimes (which makes 5 dollars and 60 cents) for a grand total of 11 dollars and 60 cents.
hope this helps

2007-05-29 04:40:06 · answer #3 · answered by Anonymous · 0 0

You have x quarters and x + 32 dimes, since you have an unknown number of quarters and 32 more dimes than quarters. That means the amount of money you have is 25x + 10(x + 32), and it is equal to 1160, if we deal in cents, because each quarter is worth 25 cents and each dime is worth 10 cents. So use algebra to solve 25x + 10(x + 32) = 1160, and you'll know how many quarters you have. Once you solve for x, the number of quarters, just add 32 to get x + 32, the number of dimes.

2007-05-29 04:31:18 · answer #4 · answered by DavidK93 7 · 4 0

Formulate an equation that makes sense.

11.60 = (x)*(.25) + (x+32)*(.1)

Solve for x. This will give you the number of quarters. Then add 32, and that is the number of dimes.

x = 24.

So, there are 24 quarters and 56 dimes.

Check: 24*0.25 + 56*0.1 = $11.60

Perfecto!

2007-05-29 04:33:49 · answer #5 · answered by lightningflame1642 3 · 0 0

D= # of Dime, and C = # of Quater
0.1*D+0.25*C=11.60 and D=32+C
0.1*(32+C)+0.25C=11.60
3.2+0.1C+0.25C=11.60
0.35C=8.4
C=24
D=32+C=32+24=56

2007-05-29 04:39:42 · answer #6 · answered by wucheric 1 · 0 0

turn this word problem into a set of equations.
x = number of quarters
y = number of dimes

x + 32 = y
.25x + .1y = 11.60

now sub the equation for y into the other equation
.25x + .1(x + 32) = 11.60

now simplify and solve
.25x + .1x + 3.2 = 11.60
.35x = 11.60 - 3.2
.35x = 8.4
x = 8.4 / .35
x = 24 = number of quarters...

now plug that into the first equation to get the number of dimes = 56 dimes.

2007-05-29 04:34:56 · answer #7 · answered by Anonymous · 0 0

d = dimes
q = quarters
d * .1 + q * .25 = 11.6
q + 32 = d
(q + 32)*.1 + q * .25 = 11.6
q * .1 + 3.2 + q * .25 = 11.6
q * .35 = 8.4
q = 8.4 / .35 = 24
d = 56
check...
56 * .1 + 24 * .25 = 11.6
56 dimes and 24 quarters

2007-05-29 04:34:48 · answer #8 · answered by zeb 4 · 0 0

x = # of dimes
y = # of quarters

x(0.1) + y(0.25) = 11.6
x = y + 32

(y + 32)*(0.1) + y(0.25) = 11.6
0.1y + 3.2 + 0.25y = 11.6
0.35y = 8.4
y = 24

x = 24 + 32
x = 56

There are 56 dimes and 24 quarters

2007-05-29 04:34:13 · answer #9 · answered by mark r 4 · 0 0

32x$0.10=$3.20
$11.60-$3.20=$8.40
$0.10+$0.25 = $0.35
$8.40/$0.35 = 24
24 quarters and 24 + 32 =56 dimes

check - 24x$0.25= $6.00
56x $0.10 = $5.60
$6.00+$5.60=$11.60

2007-05-29 07:49:58 · answer #10 · answered by *~*~Britt~*~* 1 · 0 0

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