My son is struggling please help me help him

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?

Guest Sep 24, 2021

edited by
Guest
Sep 24, 2021

#1**+1 **

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?

**Hello Guest!**

\(6s=7h\\ s=\frac{7h}{6}\\ (s-24):h=1:2\\ (\frac{7h}{6}-24):h=1:2\\ \frac{7h}{3}-48=h\)

\(\frac{7h}{3}-\frac{3h}{3}=48\\ \frac{4h}{3}=48\)

\(h=36\)

Henry had and still has 36 sweets.

!

asinus Sep 24, 2021

#2**+1 **

s/h = 7/6 or s = 7/6 h

then

(s-24) / h = 1/2

or s = 1/2 h +24 equate to the red equation:

7/6 h = 1/2 h + 24

4/6 h = 24

h = 24 * 6/4 = 36

ElectricPavlov Sep 24, 2021