Answer to Question #248023 in Algebra for faati

Question

You have twice as many 20 cent coins as 10 cents coins and half the number of 5 cent coins as 10 cent coins. If you have R4,20 altogether, find out how many of each coin denomination do you have?

Answer 1

Let the number of 10 cent coins =x, 20 cent coins =2x, and 5 cent coins = 1/2x

$10x+20(2x)+5(1/2x)=420$

$52.5x=420$

$x=8$

20 cent coins are $2\times 8=16$

10 cent coins are $8\times 1=8$

5 cent coins are $1/2\times 8=4$