Question

ranjana's mother gave her rs 245 for buying new year cards .if she got some 10 rupee cards,2/3 as many 5 rupee cards, and 1/5 as many 15 rupee cards, how many of each kind did she buy?

Answer 1

Let the no of card she boughtbe X Then eqation will be 10x + 2/3x*5 +1/5x*15=245 10,5,,15 are the price of each card The eqation will give the result= X=15 she bought 15 10rs cards,10 5 rs card, and 3, 15 rs cards

Answer 2

Answer:

Ranjana has 15 ten rupees cards , 10 five rupees cards and 3 fifteen rupees cards.

Solution:

Amount given by Ranjana’s mother =Rs 245 in the form of 10 rupees, 5 rupees and 15 rupees cards

Let her have ‘x’ 10 rupees cards.  

Then given that  

5 rupees cards $=\frac {2}{3} x$ and  

15 rupees cards $=\frac{1}{5} x$

Total amount  

$\begin{array} { c } { = 10 x + 5 \times \frac { 2 } { 3 } x + 15 \times \frac { 1 } { 5 } x } \\\\ { = 10 x + \frac { 10 x } { 3 } + 3 x } \\\\ { = 13 x + \frac { 10 x } { 3 } = \frac { 39 x + 10 x } { 3 } } \\\\ { = \frac { 49 x } { 3 } } \end{array}$

The two amounts must be equal so :

$\begin{array} { c } { \frac { 49 x } { 3 } = 245 } \\\\ { 49 x = 245 \times 3 } \\\\ { x = \frac { 245 \times 3 } { 49 } = 5 \times 3 } \\\\ { x = 15 } \end{array}$

Thus,  

10 rupees cards x = 15

5 rupees cards $= \frac {2}{3}\times15=10$

15 rupees cards $=\frac {1}{5}\times15=3$

So, she has 15 ten rupees cards , 10 five rupees cards and 3 fifteen rupees cards.