Asked by Chris
Use a system of equations to solve problem
Emily emptied her bank ana totaled the nickels, dimes, and quarters that she had saved. The total amount was 14.50
The number of dimes was 2 more than 3 times the number of nickels. How many of each coin were there
Can you show the steps i just cant do this can you show every step so i can understand this
Emily emptied her bank ana totaled the nickels, dimes, and quarters that she had saved. The total amount was 14.50
The number of dimes was 2 more than 3 times the number of nickels. How many of each coin were there
Can you show the steps i just cant do this can you show every step so i can understand this
Answers
Answered by
bobpursley
Let N be number of nickels, D dimes, and q quarters.
VAlue equation:
.25q+ .10d + .05n=14.50
d=3N+2
.25q+.10(3N+2)+.05n=14.50
.25q+.30n +.20+.05n=14.50
.25q+.35n=14.30
Now q, n have to be integers...you cant have a fraction of a coin.
So lets get the nickels out of the way first by getting the quarter total value to some multiple of a dollar, or 25c, or 50 cents...
How many .35 will it take to make the total a multiple of .25? Turns out, three...If n is 3, then .35n=1.05, so
.25q=14.30-1.05=13.25 so q is you can do that.
VAlue equation:
.25q+ .10d + .05n=14.50
d=3N+2
.25q+.10(3N+2)+.05n=14.50
.25q+.30n +.20+.05n=14.50
.25q+.35n=14.30
Now q, n have to be integers...you cant have a fraction of a coin.
So lets get the nickels out of the way first by getting the quarter total value to some multiple of a dollar, or 25c, or 50 cents...
How many .35 will it take to make the total a multiple of .25? Turns out, three...If n is 3, then .35n=1.05, so
.25q=14.30-1.05=13.25 so q is you can do that.
Answered by
Reiny
let the number of nickels, dimes and quarters be N, D, and Q
but D= 3N+2
5N + 10(3N+2) + 25Q = 1450
25Q + 35N = 1430
5Q + 7N = 286
we want integer solutions for N and Q
by some trial and error I got
Q=25
and N = 23, so D = 71
check: 25*25 + 71*10 + 23*5 = 1450
My question to you "Is this answer unique" ?
but D= 3N+2
5N + 10(3N+2) + 25Q = 1450
25Q + 35N = 1430
5Q + 7N = 286
we want integer solutions for N and Q
by some trial and error I got
Q=25
and N = 23, so D = 71
check: 25*25 + 71*10 + 23*5 = 1450
My question to you "Is this answer unique" ?
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