Ganga has some 10 notes and some * 20 notes. The number of 20 notes is half that of 10 notes
If she has 160 in all, find the number of notes of each denomination.
Answers
Answer: 4 x 20 Rs and 8 x 10 Rs
Step-by-step explanation:
y = 2x and 20x+10y = 160
2x+y = 16
2y = 16
y = 8 so, x = 8/2 = 4
Ganga has 8, 10 Rs notes and 4, 20 Rs notes
Given:
Ganga has some 10 Rs notes and some 20 Rs notes.
The number of 20 notes is half that of 10 notes
Total amount she has = 160 Rs
To find:
Find the number of notes of each denomination
Solution:
Let Ganga has x number of 10 Rs notes
then number of 20 Rs notes = x/2
If Ganga has x number of 10 Rs notes
then the total amount she has with 10 Rs = x × 10 Rs = 10x Rs
If Ganga has x/2 number of 20 Rs notes
then the total amount she has with 20 Rs = x/2 × 20 Rs = 10x Rs
From given data the total amount she has = 160 Rs
⇒ 10x Rs + 5x Rs = 160 Rs
⇒ 20x = 160
⇒ x = 8
⇒ Number of 10 Rs notes = 8
⇒ Number of 20 Rs notes = 8/2 = 4
Ganga has 8, 10 Rs notes and 4, 20 Rs notes
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