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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?

 Sep 24, 2021
edited by Guest  Sep 24, 2021
 #1
avatar+12396 
+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.

laugh  !
 

 Sep 24, 2021
edited by asinus  Sep 24, 2021
 #2
avatar+35058 
+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

 Sep 24, 2021

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