[6.05] Your piggy bank has a total of 43 coins in it; some are dimes and some are nickels. If you have a total of $3.60, how many nickels and how many dimes do you have? Show all of your work .

Question

anonymous · Answer

@Mehek14

mehek14 · Answer

ok give me a variable for dimes and one for nickels

mehek14 · Answer

@kaylamarie081 ?

anonymous · Answer

okay. um d= dimes and n= nickels

mehek14 · Answer

alright so 
d + n = 43 coins in total

mehek14 · Answer

d = 10 cents
n = 5 cents
10d + 5n = 360

mehek14 · Answer

so 
10d + 5n = 360 
d + n = 43

mehek14 · Answer

10d + 5n = 360 
10d + 10n = 430 <---- multiply by 10

mehek14 · Answer

subtract both
-5n = -70

mehek14 · Answer

n = 14 
14 nickels

mehek14 · Answer

substitute in the equation
d + 14 = 43 
d = 29

mehek14 · Answer

so 14 nickels and 29 dimes
14 * 0.05 = 0.7
29 * 0.1 = 2.9
0.7 + 0.9 = 3.6

mehek14 · Answer

so the answer is 14 nickels and 29 dimes
@kaylamarie081

mehek14 · Answer

did you get it?

mehek14 · Answer

@kaylamarie081 ????

anonymous · Answer

yes thank you. sorry it took awhile i was trying to figure it out on my own for a mintue.