Question

$290$ coins are in the denominations of $₹5,₹2$ and $₹1$ and are in the ratio $1:4:5$. Find the total values of the coins.

Answer 1

Step $1:$ Finding the number of $₹5,₹2$ and $₹1$ coins:

Let the number of $₹5,₹2$ and $₹1$ coins be $\text{1x, 4x}$ and $\text{5x}$

Total number of coins $\text{=1x+4x+5x=10x}$

According to the question, total number of coins $\text{=290}$

$$\begin{gathered} \text{⇒10x=290} \\ \text{⇒ x=}\frac{290}{10} \\ \Rightarrow \mathrm{x}=29 \end{gathered}$$

Hence, $₹5$ coins are $\text{=1x=1×29=29}$

$₹2$ coins are $\text{=4x=4×29=116}$

$₹1$ coins are $\text{=5x=5×29=145}$

Step $2:$ Finding the total of value of coins:

Total value of $₹5$ coins is $₹5\times 29=₹145$

Total value of $₹2$ coins is $₹2\times 116=₹332$

Total value of $₹1$ coins is $₹1\times 145=₹145$

Total value of coins $₹5,₹2$ and $₹1$ is

$$\begin{gathered} =₹145+₹332+₹145 \\ =₹622 \end{gathered}$$

Hence,Total value of coins is $₹622$