Sarah and Henry share some sweets in the ratio 5:6.
Sarah eats 16 of her sweets and the ratio of sweets left becomes 1:2.
How many sweets did Henry have?

48 sweets

Step-by-step explanation:

Sarah to Henry ratio is 5 is to 6, we can say:

Sarah has 5x sweets

Henry has 6x sweets

After Sarah eats "16", the ratio is 1:2, so we can write:

Let us solve this equation for "x":

Henry had "6x" sweets, so Henry had:

6*8 = 48 sweets