Question

Fill in the blank to make the statement true.
In a bag there are 5 and 2 rupee coins. If they are equal in number and their worth is Rs. 70, then
(a) The worth of x coins of Rs. 5 each _____.
(b) The worth of x coins of Rs. 2 each _____.
(c) The equation formed is _____.
(d) There are ___5 rupee coins and __2 rupee coins.

Answer 1

Step 1: Find the worth of 𝑥 coins of Rs. 5 each​
Number of 5 rupee coins = x
Total worth of x, 5 rupee coins $=5\times x$
$=Rs.5x$
Hence, the worth of x coins of Rs. 5 each Rs. 5x.

Step 2: Find the worth of 𝑥 coins of Rs. 2 each​
Number of 2 rupee coins = x
Total worth of x 2 rupee coins $=2\times x$
$=Rs.2x$
Hence, the worth of x coins of Rs. 2 each Rs. 2x.

Step 3: Find the equation​
Total worth of coins = Rs. 70
$\Rightarrow 5x+2x=70$
Hence, the equation formed is $5x+2x=70$

Step 4: Find the numbers of coins​
$5x+2x=70$
$\Rightarrow 7x=70$
$\Rightarrow x=\frac{70}{7}$
$x=10$
Hence, there are 10, 5 rupee coins and 10, 2 rupee coins.