Question

In how many ways can a person pay back a loan of rs. 150, using only three types of notes : rs. 10, rs. 25 and rs. 5

Answer 1

Answer:

Step-by-step explanation:

The equation is equivalent to 10x+25y+50z=150 I.e 2x+5y+10z=30

Z can be 0,1,2,3

For z=0, 2x+5y=30, which has 4 solutions

For z=1, 2x+5y=20, which has 3 solutions

For z=2, 2x+5y=10, which has 2 solutions

For z=3, 2x+5y=0, which has 1 solution

Hence, adding up all the cases, we have 10 different ways

Answer: 10 ways