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# In a bag there are 5 and 2 rupee coins. If they are equal in number and their worth is ₹ 70, then

(a) The worth of x coins of ₹ 5 each _____

(b) The worth of x coins of ₹ 2 each _____

(c) The equation formed is _____

(d) There are _____ 5 rupee coins and _____ 2 rupee coins

**Solution:**

Let the number of 2 rupee coins be x

Then the number of 5 rupee coins be x

2x + 5x = 70

7x = 70

x = 70/7

x = 10

Thus,

(a) The worth of x coins of ₹ 5 each 5x.

(b) The worth of x coins of ₹ 2 each 2x.

(c) The equation formed is 2x + 5x = 70 or 7x = 70.

(d) There are 10, 5 rupee coins and 10, 2 rupee coins.

**✦ Try This:** In a bag there are 5 and 10 rupee coins. If they are equal in number and their worth is ₹ 75, then (a) The worth of x coins of ₹ 5 each _____, (b) The worth of x coins of ₹ 10 each _____, (c) The equation formed is _____, (d) There are _____ 5 rupee coins and _____ 10 rupee coins.

Let the numbers of 5 rupee coins are x

Then the numbers of 10 rupee coins be x

A/Q,

10x + 5x = 75

15x = 75

x = 75/15

x = 5

Thus,

(a) The worth of x coins of ₹ 5 each 5x.

(b) The worth of x coins of ₹ 10 each 10x.

(c) The equation formed is 10x + 5x = 75 or 15x = 75.

(d) There are 5, 5 rupee coins and 5, 10 rupee coins.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 4

**NCERT Exemplar Class 7 Maths Chapter 4 Problem 23**

## In a bag there are 5 and 2 rupee coins. If they are equal in number and their worth is ₹ 70, then (a) The worth of x coins of ₹ 5 each _____, (b) The worth of x coins of ₹ 2 each _____, (c) The equation formed is _____, (d) There are _____ 5 rupee coins and _____ 2 rupee coins

**Summary:**

(a) The worth of x coins of ₹ 5 each 5x, (b) The worth of x coins of ₹ 2 each 2x, (c) The equation formed is 2x + 5x = 70 or 7x = 70, (d) There are 10, 5 rupee coins and 10, 2 rupee coins

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