Shivi gave a note of ₹2,000 for a pair of jeans worth ₹500. She was returned 11 notes in denominations of ₹200 and ₹100. Which pair of equations can be used to find the number of ₹200 notes, x, and the number of ₹100 notes y? How many notes of ₹200 did she get * Option 1: x+ y= 11and 200x + 100y= 1500; 8 Option 2: y = x+ 11 and 200x+ 100y = 2000; 4 Option 3: x+ y= 11 and 200x + 100y = 1500; 4 Option 4: x +y= 11 and 100x + 200y = 2000; 10
Answers
Answer:
option 3 is the correct answer
SOLUTION
TO CHOOSE THE CORRECT OPTION
Shivi gave a note of ₹ 2,000 for a pair of jeans worth ₹ 500. She was returned 11 notes in denominations of ₹200 and ₹ 100. Which pair of equations can be used to find the number of ₹200 notes, x, and the number of ₹100 notes y
How many notes of ₹200 did she get
1 : x + y = 11 and 200x + 100y = 1500 ; 8
2 : y = x + 11 and 200x + 100y = 2000 ; 4
3 : x + y = 11 and 200x + 100y = 1500 ; 4
4: x + y = 11 and 100x + 200y = 2000 ; 10
EVALUATION
Here it is given that Shivi gave a note of ₹ 2,000 for a pair of jeans worth ₹ 500
Total amount Shivi returned
= ₹ 2000 - ₹ 500
= ₹ 1500
Shivi received 11 notes in denominations of ₹ 200 and ₹ 100
The the number of ₹ 200 notes are x and the number of ₹ 100 notes are y
So by the first condition
x + y = 11 - - - - - - (1)
By the second condition
200x + 100y = 1500
⇒ 2x + y = 15 - - - - - - (2)
Equation 2 - Equation 1 gives
x = 4
Putting the value of x in Equation 1 we get
4 + y = 11
⇒ y = 11 - 4
⇒ y = 7
The the number of ₹ 200 notes are 4 and the number of ₹ 100 notes are 7
FINAL ANSWER
Hence the correct option is
3 : x + y = 11 and 200x + 100y = 1500 ; 4
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