Aruna has only Re 1 and Rs 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs 75, then the number of Re 1 and Rs 2 coins are, respectively
a. 35 and 15
b. 35 and 20
c. 15 and 35
d. 25 and 25

Solution:

Given, Aruna has Re. 1 and Rs. 2 coins with her.

We have to find the number of Re.1 and Rs.2 coins.

Let the number of Re.1 coins be x

Let the number of Rs.2 coins be y.

Given, x + y = 50 ------------- (1)

Given, the amount of money is Rs. 75

So, x + 2y = 75 --------------- (2)

On solving the linear equations (1) and (2),

First subtracting (2) and (1),

(x + 2y) - (x + y) = 75 - 50

x + 2y - x - y = 25

By grouping,

(x - x) + (2y - y) = 25

y = 25

Put y = 25 in (1),

x + 25 = 50

x = 50 - 25

x = 25.

Therefore, the number of Re.1 and Rs.2 coins are 25 and 25.

✦ Try This: Sheela has only Rs. 5 and Rs 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs 75, then the number of Re 1 and Rs 2 coins are, respectively

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 3

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NCERT Exemplar Class 10 Maths Exercise 3.1 Problem 12

Aruna has only Re 1 and Rs 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs 75, then the number of Re 1 and Rs 2 coins are, respectively, a. 35 and 15, b.35 and 20, c. 15 and 35, d. 25 and 25

Summary:

Aruna has only Re 1 and Rs 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs 75, then the number of Re 1 and Rs 2 coins are 25 and 25 respectively

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