Question

Sarah and Henry share some sweets in the ratio 7:6 . Sarah eats 24 of her sweets and the ratio of sweets left becomes 1:2 . How many sweets did Henry have?

Answer 1

The number of sweets of Henry would be  36.

Step-by-step explanation:

Since we have given that

Ratio of Sarah and Henry = 7:6

Let the number of sweets of Sarah be 7x

Let the number of sweets of Henry be 6x

Sarah eats 24 of her sweets, the ratio becomes 1:2

So, it becomes,

$\dfrac{7x-24}{6x}=\dfrac{1}{2}\\\\7x-24=\dfrac{6x}{2}=3x\\\\7x-3x=24\\\\4x=24\\\\x=\dfrac{24}{4}=6$

Hence, the number of sweets of Henry would be

$6x=6\times 6=36$

# learn more:

Sarah and Henry share some sweets in the ratio 5:6 .

Sarah eats 24 of her sweets and the ratio of sweets left becomes 1:2 .

How many sweets did Henry have?

https://brainly.in/question/12269102

Answer 2

Answer: I had this on HegartyMaths it’s

30

Step-by-step explanation: