How much money does 4 ten-rupee notes and 3 five-rupees notes together make? What about 7 ten rupee notes and 4 five-rupees notes?
Let us denote the number of ten rupee notes by t, five rupees notes by f and the total amount by m. What is the relation involving t, f, m?
Total number of ten-rupee notes = 4
Total number of five-rupee notes = 3
Total value of 4 ten-rupee notes = 4 × Rs 10 = Rs 40
Total value of 3 five-rupee notes = 3 × Rs 5 = Rs 15
Total amount = Rs 40 + Rs 15 = Rs 55
Now, total number of ten-rupee notes = 7
Total number of five-rupee notes = 4
Total value of 7 ten-rupee notes = 7 × Rs 10 = Rs 70
Total value of 4 five-rupee notes = 4 × Rs 5 = Rs 20
Total amount = Rs 70 + Rs 20 = Rs 90
If the number of ten-rupee notes, five-rupee notes and the total amount are denoted by t, f and m respectively, then the relation between these amounts can be written as:
m = t × 10 + f × 5
⇒ m = 10t + 5f