Question

Naga has n marbles.

Panav has three times as many marbles as Naga.
Naga loses 5 marbles and Panav buys 10 marbles.
Together they now have more than 105 marbles.
Write down and solve an inequality in n.

Answer 1

Explanation:

Let's represent the number of marbles Naga has as "n". Since Panav has three times as many marbles as Naga, we can represent the number of marbles Panav has as "3n".

After Naga loses 5 marbles and Panav buys 10 marbles, the number of marbles Naga has is "n - 5" and the number of marbles Panav has is "3n + 10".

Together, they now have more than 105 marbles, so we can write the inequality: (n - 5) + (3n + 10) > 105

Solving this inequality for n:

n - 5 + 3n + 10 > 105

4n + 5 > 105

4n > 100

n > 25

So, Naga must have had more than 25 marbles initially.