Question

Sheela and Meena have a certain number of coins totalling 30. If Sheela gives 5 coins to Meena ,Meena will have double the number of coins Sheela has. Find the correct graph that depicts the given information and the solution from the graph.

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Let number of coins sheela has be $x$ and number of coins Meena has is $y.$

Total number of coins is 30

$\Rightarrow x+y=30$

Then the Graph should pass through (30,0) and (0,30)
[By substituting x = 0, y = 0 and getting corresponding values]

Again, Sheela gives 5 coins to Meena ,Meena will have double the number of coins Sheela has.

$\Rightarrow 2(x-5)=y+5\Rightarrow y=2x–15$

Then the Graph should pass through ( 7.5, 0 ) and ( 0, -15)
[By substituting x = 0, y = 0 and getting corresponding values]

The point of intersection of two lines passing through above points is (15,15)

$\therefore$ The solution is (15, 15)