Question

John has $2 in nickels and dimes in his drawer. The number of nickels is three times the number of dimes. How many of each are in the drawer?

Answer 1

Answer:

8 dimes and 24 nickles

Step-by-step explanation:

Answer 2

Given :

John has $2 in nickels and dimes in his drawer

The number of nickels is three times the number of dimes

To Find : Numbers of nickels and numbers of dimes

Solution :

Let The number of nickles = n

Let The number of dimes = d

According to question

Numbers of nickels + numbers of dimes  = $2

Or, And,  

number of nickels = three times number of dimes

i.e     n = 3 d                 .............1

∵  1 nickles = $0.05

And 1 dimes = $0.10    

So,  3 dimes = 3 × $0.10   = $0.3

Now

0.05 ×  n + 0.10 × d = $2

Or,   5 n + d = 200

From eq 1

    5 × 3 d + d = 200

Or,  15 d + d = 200

Or,         6 d = 200

∴                d = $\dfrac{200}{16}$

i.e              d = 12.5

So, The number of dimes = d = 12.5

And The number of nickles = n = 3 d = 3 × 12.5 = 37.5

Hence, The The number of dimes is 12.5

And The number of nickles  37.5  Answer