You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VII

Mathematics

Word Problems on Solving Algebraic Equations

Kate has $ 50...

Question

Kate has $$ 500$ as currency notes in the denominations of $$ 50$ and $$ 20$ . The ratio of the number of $$ 50$ notes and $$ 20$ notes is $3 : 5$ . Then, the number of $$ 50$ notes is and the number of $$ 20$ notes is .

Open in App

Solution

Since the ratio of $$ 50$ notes and $$ 20$ notes is $3 : 5$ .
Let the number of $$ 50$ notes be $3 x$ and the number of $$ 20$ notes be $5 x$ respectively.
( $∵$ the ratio still remains the same i.e. $3 x : 5 x = 3 : 5$ ).

$(3 x) \times ($ 50) + (5 x) \times ($ 20) = $ 500$
$\Rightarrow 150 x + 100 x = 500$
$\Rightarrow 250 x = 500$

On dividing both sides of the equation by '250', we get,
$\Rightarrow \frac{250 x}{250} = \frac{500}{250}$
$\Rightarrow x = 2$

$∴$ Number of $$ 50$ notes $= 3 x = 3 \times 2 = 6$
Similarly, number of $$ 20$ notes $= 5 x = 5 \times 2 = 10$

Suggest Corrections

Similar questions

Q. Kate has

$ 500

as currency notes in the denominations of

$ 50

and

$ 20

. The ratio of the number of

$ 50

notes and

$ 20

notes is

3 : 5

. Then, the number of

$ 50

notes is and the number of

$ 20

notes is .

Q. Deveshi has a total of

R s 590

as currency notes in the denominations of

R s 50, R s 20

and

R s 10

. The ratio of the number of

R s 50

notes and

R s 20

notes is

3 : 5

. If she has a total of

25

notes, how many notes of each denomination she has

Ramesh has a total of Rs.1000 as currency notes in the denominations of 100, 50 and 10. The ratio of the number of 50 notes and 100 notes is 3:2. If he has a total of 40 notes, how many notes of each denomination does he have? [4 MARKS]

Q. An amount of Rs 3270 is made up with the notes of denominations Rs 100, 50, 20, and 10. The number of Rs 10 notes are 5 times the number of Rs 20 notes .The number of Rs 20 notes are 4 times the number of Rs 50 notes .The number of Rs 50 notes are 3 times the number of Rs 100 notes.How many total notes of denomination rs 20 are there

Q. Sameer changed

Rs. 200

into

Rs. 5, Rs. 20

and

Rs. 50

notes. If the number of

Rs. 5

notes was double the number of

Rs. 20

notes, and the

Rs. 50

notes were one-fifth the

Rs. 20

notes, how many notes of each denomination did he get?

Join BYJU'S Learning Program

Kate has $ 500 as currency notes in the denominations of $ 50 and $ 20. The ratio of the number of $ 50 notes and $ 20 notes is 3:5. Then, the number of $ 50 notes is and the number of $ 20 notes is .

Kate has $$ 500$ as currency notes in the denominations of $$ 50$ and $$ 20$ . The ratio of the number of $$ 50$ notes and $$ 20$ notes is $3 : 5$ . Then, the number of $$ 50$ notes is and the number of $$ 20$ notes is .