Question

A sum of money amounting to P5.15 consists of 10 cents and 25 cents, If there are 32 coins in all, how many 25 cents are there? A. 14 pcs B. 13 pcs C. 15 pcs D. 12 pcs

Answer 1

Answer: Option 'B' is correct.

Explanation:

Let the number of 10 cents pcs be 'x'.

Let the number of 25 cents pcs be 'y'.

Since we have given that

Total number of coins = 32

Sum of money = $5.15

As we know that

$1 = 100 cents

$5.15 = 5.15×100 = 515 cents

According to question, we get that

`x+y=32-----------(1)\\\\10x+25y=\$515------------(2)`

Using the graphing method, we get that

x = 19

y = 13

So, there are 13 pcs of 25 cents.

Hence, Option 'B' is correct.