The number of cards Tom and Mark each have are in the ratio $2:3$. If Mark gives $4$ cards to To

Question

The number of cards Tom and Mark each have are in the ratio $2:3$. If Mark gives $4$ cards to Tom, the ratio becomes $5:7$. By letting $x$ be the number of cards Tom has, form an equation in terms of x and show that it reduces to: $7x+28=7.5x-20$[2] hence, or otherwise, find the number of cards Mark originally has.[2]

Accepted Answer

(i) $7x+28=7.5x-20$ (ii) $144$ cards

IP1U9 Exercise Q1

IP1U9 Exercise Q1

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