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In Indian wedding ceremonies, grooms often wear garlands made with currency notes given by the relatives. One such garland (note mala) is made up of ₹200 and ₹500 notes. The total number of currency notes used in the garland is 40 and the total value of currency notes is ₹11,000. Express the given information algebraically as a system of linear equations in two variables. Hence, find the number of notes of each type used to make the garland.
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Let number of ₹200 notes be $x$
Let number of ₹500 notes be $y$ } (1/2 Mark)
$x + y = 40$ --- (1) (1/2 Mark)
$2x + 5y = 110$ --- (2) (1/2 Mark)
Solving (1) and (2) we get
$x = 30$ and $y = 10$ (1/2 Mark)
Let number of ₹500 notes be $y$ } (1/2 Mark)
$x + y = 40$ --- (1) (1/2 Mark)
$2x + 5y = 110$ --- (2) (1/2 Mark)
Solving (1) and (2) we get
$x = 30$ and $y = 10$ (1/2 Mark)