Question

Sally has a bunch of pennies in her piggy bank. She gives 1/3 of her pennies to her older brother. Then, she gives 2/5 of her remaining pennies to her younger sister. After all this, Sally has 24 pennies remaining. How many pennies did Sally start with?

Answer 1

She started with 60 pennies

Ratios and propotions

Let the number of a bunch of pennies she has to be "x"

If she gives 1/3 of her pennies to her older brother, she will have 2/3 x remaining

If she gives 2/5 of her remaining pennies to her younger sister, she will have 2/3x- (2/5 of 2/3x) =  x remainijg

If Sally has 24 pennies remaining, then;

2/3x - 4/15x = 24

10x-4x/15 = 24

6x/15 = 24

6x = 15 * 24

x = 60

This means that she started with 60 pennies

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