Question

Tina has three times as many two-rupees coins as she has five-rupees coins. If she has total money?
154, how many coins of each type are there?
BAL
2 00
2nd
denomination. The​

Answer 1

Correct Question :

Tina has three times as many two-rupees coins as she has five-rupees coins. If she has total money Rs.154. How many coins of each type are there?

$\rule{100}{2}$

AnswEr :

$\bullet\:\textsf{Let the Five Rupees Coin = n}\\\bullet\:\textsf{Two Rupees Coin = 3(Five Rupees Coin) = 3n}$

$\bigstar\:\underline{\textsf{According to the Question Now :}}$

$:\implies\textsf{Five Rupees + Two Rupees = Rs. 154}\\\\\\:\implies\sf (Number \times Value) + (Number \times Value) = Rs. \:154\\\\\\:\implies\sf (n \times Rs.\:5) + (3n\times Rs.\:2) = Rs.\:154\\\\\\:\implies\sf Rs.\:5n + Rs.\:6n = Rs.\:154\\\\\\:\implies\sf Rs.\:11n= Rs.\:154\\\\\\:\implies\sf n= \cancel \dfrac{Rs.\:154}{Rs.\:11} \\\\\\:\implies\sf n=14$

$\rule{240}{2}$

• D E N O M I N A T I O N :

$\bf{\dag}\quad \textsf{5 Rupees Coin = n = \textbf{14}}\\\\\bf{\dag}\quad\textsf{2 Rupees Coin = 3n = 3(14) = \textbf{42}}$

Answer 2

$\bf{\Huge{\boxed{\tt{\red{ANSWER\::}}}}}$

$\bf{\Large{\underline{\sf{Given\::}}}}$

Tina has three times as two - rupees coins as she has five - rupees coins, she has total sum of money is 154.

$\bf{\Large{\underline{\bf{To\:find\::}}}}$

The coins of each denomination have.

$\bf{\Large{\underline{\rm{\green{Explanation\::}}}}}$

Let Rs.5 coins = R.

Let Rs.2 coins = 3R

A/q

$\longmapsto\sf{Amount\:by\:Rs.5\:coins\:=\:5R\:rupees}$

$\longmapsto\sf{Amount\:by\:Rs.2\:coins\:=\:2*3R\:=\:6R \:rupees}$

So,

$\longmapsto\sf{Total\:amount\:=\:5R+6R\:=\:154}$

$\longmapsto\sf{11R\:=\:154}$

$\longmapsto\sf{R\:=\:\cancel{\frac{154}{11} }}$

$\longmapsto\sf{\red{R\:=\:14}}$

Thus,

• Denomination of 5 - rupees coin = 14.
• Denomination of 2 - rupees coin = 3(14) = 42.