SOLUTION: Nadine has seven more nickels than Delano has dimes. If Delano gives Nadine four of his dimes, then delano will have the same amount of money as Nadine. How much money do they have

Question 1049978: Nadine has seven more nickels than Delano has dimes. If Delano gives Nadine four of his dimes, then delano will have the same amount of money as Nadine. How much money do they have together?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Nadine has seven more nickels than Delano has dimes.
If Delano gives Nadine four of his dimes, then delano will have the same amount of money as Nadine.
How much money do they have together?
:
let n = no. of nickels
let d = no. of dimes
:
Write an equation for each statement
:
" Nadine has seven more nickels than Delano has dimes."
n = d + 7
:
"If Delano gives Nadine four of his dimes, then delano will have the same amount of money as Nadine."
4 dimes = .40
.10d - .40 = .05n + .40
.10d = .05n + .40 + .40
.10d = .05n + .80
Replace n with (d+7) from the 1st statement
.10d = .05(d+7) + .80
.10d = .05d + .35 + .80
.10d - .05d = 1.15
.05d = 1.15
d = 1.15/.05
d = 23 dimes originally
then
n = 23 + 7
n = 30 nickels
:
See if that checks out
.10(23) - .40 = .05(30) + .40
2.30 - .40 = 1.50 + .40
1.90 = 1.90
:
How much money do they have together?
23(.10) + 30(.05) =
2.30 + 1.50 = $3.80
RELATED QUESTIONS
Nadine has seven more nickels than Delano has dimes. If Delano gives Nadine four of his... (answered by aaaaaaaa,venugopalramana,stanbon)

Nadine has seven more nickels than Delano has dimes. If Delano gives Nadine four of his... (answered by ankor@dixie-net.com)

Nadine has seven more nickels than Delano has dimes. If Delano gives Nadine four of his... (answered by solver91311)

Nadine has seven more nickels than Delano has dimes. If Delano gives Nadine four of his... (answered by scott8148)

nadine has 7 more nickels than dealano has dimes if delano gives nadine 4 of his dime... (answered by solver91311)

If jon has four dollars in dimes in nickels and he has seven more dimes than nickels, how (answered by amoresroy)

Alex has four times as many quarters as nickels and five more dimes than nickels in his... (answered by addingup,ikleyn)

Penny has pennies, Nicholas has nickels, Doug has dimes, queen has quarters and Harry has (answered by ankor@dixie-net.com)

Mr. Carmona has a total of $1.05 in nickels and dimes. If he had three more nickels,... (answered by checkley79)