Question

Maggie has only dimes and quarters in her purse. She has 27 coins with a total value of $4.05. How many dimes does Maggie have in her purse?

Answer 1

Answer:

The number of dimes does Maggie have in her purse is 18 .

Step-by-step explanation:

Given as :

Total number of coins of dimes and quarters = 27

Total value of money does Maggie has in her purse = $4.05

Let The numbers of dimes in purse = d

Let The number of quarters in purse = q

According to question

∵ Total number of coins of dimes and quarters = 27

i.e d + q = 27           ........A

And

0.1 d + 0.25 q = $4.05

Or, 10 d + 25 q = 405            .........B

Solving eq A and eq b

(10 d + 25 q ) - 10 × (d + q) = 405 - 10 × 27

Or, (10 d - 10 d) + (25 q - 10 q) = 405 - 270

Or, 0 + 15 q = 135

∴ q = $\dfrac{135}{15}$

i.e q = 9

So, The number of quarters does Maggie have in her purse = q = 9

And ∵ d + q = 27

Or,  d = 27 - q

Or, d = 27 - 9

i.e d = 18

So, The number of dimes does Maggie have in her purse = d = 18

Hence, The number of dimes does Maggie have in her purse is 18 . Answer