Mr Kapoor withdrew *25,000 from an ATM. If he received 150 notes in denominations of *500 and 100, find the number of notes of each denomination. (please tell step by step please) thank you (if you are telling)
Let's solve this problem by setting up equations based on the given information.
Let X be the number of *500 notes Mr. Kapoor received, and Y be the number of *100 notes he received.
We know two things from the problem:
1. The total value of the notes is *25,000, so we can write the equation:
500X + 100Y = 25,000
2. Mr. Kapoor received a total of 150 notes, so we can write another equation:
X + Y = 150
Now, you have a system of two equations:
1. 500X + 100Y = 25,000
2. X + Y = 150
Let's solve this system of equations. You can use the second equation to express one of the variables in terms of the other, and then substitute it into the first equation:
From the second equation, you can express X as:
X = 150 - Y
Now, substitute this expression for X into the first equation:
500(150 - Y) + 100Y = 25,000
Now, simplify and solve for Y:
75,000 - 500Y + 100Y = 25,000
-400Y = 25,000 - 75,000
-400Y = -50,000
Now, divide both sides by -400 to find Y:
Y = (-50,000) / (-400) = 125
So, Mr. Kapoor received 125 *100 notes.
Now, you can find X using the second equation:
X = 150 - Y
X = 150 - 125
X = 25
So, Mr. Kapoor received 25 *500 notes.
In summary, he received 25 *500 notes and 125 *100 notes.
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Step-by-step explanation:
Let's solve this problem by setting up equations based on the given information.
Let X be the number of *500 notes Mr. Kapoor received, and Y be the number of *100 notes he received.
We know two things from the problem:
1. The total value of the notes is *25,000, so we can write the equation:
500X + 100Y = 25,000
2. Mr. Kapoor received a total of 150 notes, so we can write another equation:
X + Y = 150
Now, you have a system of two equations:
1. 500X + 100Y = 25,000
2. X + Y = 150
Let's solve this system of equations. You can use the second equation to express one of the variables in terms of the other, and then substitute it into the first equation:
From the second equation, you can express X as:
X = 150 - Y
Now, substitute this expression for X into the first equation:
500(150 - Y) + 100Y = 25,000
Now, simplify and solve for Y:
75,000 - 500Y + 100Y = 25,000
-400Y = 25,000 - 75,000
-400Y = -50,000
Now, divide both sides by -400 to find Y:
Y = (-50,000) / (-400) = 125
So, Mr. Kapoor received 125 *100 notes.
Now, you can find X using the second equation:
X = 150 - Y
X = 150 - 125
X = 25
So, Mr. Kapoor received 25 *500 notes.
In summary, he received 25 *500 notes and 125 *100 notes.
This is step by step solution
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