Hi I would appreciate if i could get help with this question:
Miss Ang buys some sweets. If she gives her pupils 3 sweets each, she will have 12 sweets left. If she gives them 4 sweets each, she will need 24 more,
(a) How many pupils are there?
(b) How many sweets does she have?
Thank you!:)
This is typical “excess and shortage” type of question.
Total difference = 12 + 24 = 36
Individual difference = 4 – 3 = 1
(a) Number of pupils = 36 / 1 = 36 pupils #
(b) Number of sweets = ( 3 x 36 ) + 12 = 120 #
or Number of sweets = ( 4 x 36 ) – 24 = 120 #
Hope this helps.
BigDevil
For this kind of question, I never asked my children to memorise the steps, but to think through logically.
Have a look at my post: https://www.kiasuparents.com/kiasu/question/19823-2/#post-19845 for an explanation to a similar question.
If using algebra method will be ….
Let the number of pupils be “x”.
3x + 12 = 4x – 24
4x – 3x = 12 + 24
x = 36
(a) Number of pupils = x = 36 #
(b) Number of sweets = 3x + 12 = ( 3 x 36 ) + 12 = 120 #
