A piggy bank contains $5.60 in nickels and dimes. The number of nickels is 8 less than 3 times the dimes. How many nickels and d

Question

3 years ago

14

imes are there in the piggy bank? The piggy bank has nickels and dimes. NextReset

2 answers:

Fantom [35] · Answer 1 · 2022-02-13T16:46:35+03:00

8 0

There are 24 dimes and 64 nickles

Vlad1618 [11] · Answer 2 · 2022-02-13T18:54:38+03:00

Answer:

64 nickels and 24 dimes

Step-by-step explanation:

Let there be x nickels and y dimes

The number of nickels is 8 less than 3 times the dimes

i.e. $x = 3y-8$

Value of the coins = $5x+10y$

= 560 cents (given)

Substitute x value in the second equation

$5(3y-8)+10y = 560\\25y = 600\\y =24\\$

Substitute in

$x = 3y-8\\=64$

There are 64 nickels and 24 dimes.