Maira has a total of 1040 as currency notes in the denomination of 10, 20 and 50. The
ratio of the number of 10 notes and 20 notes is 2:5. If she has a total of 30 notes, how
many notes of each denomination she has.
Answers
Answer:
Given that:
• Total sum of money she has is 1040.
• Denominations are 10, 20 and 50.
• 10 and 20 notes are in ratio 2: 5
To find:
• Number of notes in each domination, Maira has. • Concept-Ratio and Proportion
Let's Do!
So, let us start with the ratio constant x. So, we can state that the ratio of 10 and 20 notes are 2x and 5x respectively.
So, we can state for time being:
Let the 50 notes be y.
So,
2x + 5x +y = 30 - Given
7x + y = 30
y = 307x -(1)
Now, according to question:
10(2x) +20(5x) + 50(30-7x) = 1040
Using distributive property,
20x100x1500) 350x
120x+1500 - 350x
1040
120x + 1500 - 350x1040
-230x1040-1500
230x460
460
X= 230
x = 2
Now, placing the values of x:
2x = 2 x 2 = 4 notes
5x 5 x 2 = 10 notes
30-7x= 30 (7 × 2) = 30 14 = 16 notes
So, 4 notes, 10 notes and 16 notes respectively is the required answer.
Step-by-step explanation:
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