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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