Seema has a total of Rs.235 as currency notes in the
denominations of Rs.50,Rs.10 and Rs.5.The ratio of the number of
Rs.50 notes and Rs.10 notes is 3:5.If she has a total of 15 notes,
how many Rs. 5 notes does she have?
Answers
Answered by
2
Given :-
- Seema has a total of Rs.235 as currency notes in the
- denominations of Rs.50,Rs.10 and Rs.5.
- The ratio of the number of Rs.50 notes and Rs.10 notes is 3:5.
- she has a total of 15 notes.
To find :-
- How many Rs. 5 notes does she have ?
Solution :-
Let us assume that, seema has 3x notes of Rs.50 and 5x notes of Rs.10 .
Than,
→ Rs. 5 notes = 15 - (3x + 5x) = (15 - 8x) .
So,
→ Total value of Rs.50 notes = 50 * 3x = Rs.150x .
→ Total value of Rs.10 notes = 10 * 5x = Rs.50x .
→ Total value of Rs.5 notes = 5(15 - 8x) = Rs.(75 - 40x).
we have given that, total value of all notes is Rs.235 .
Therefore,
→ 150x + 50x + (75 - 40x) = 235
→ 200x + 75 - 40x = 235
→ 160x = 235 - 75
→ 160x = 160
→ x = 1.
Hence,
→ Rs. 5 notes = (15 - 8x) = 15 - 8*1 = 15 - 8 = 7 Notes .(Ans.)
∴ Seema has 7 notes of Rs.5 .
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