# Year 4 Maths Word Problem

Discussion in 'Mathematics' started by sevenseals, Mar 1, 2017.

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1. ### sevensealsNew commenter

Word Problem: A bus was carrying 48 passengers. After 16 children alighted from the bus and 10 adults boarded the bus, there were twice as many adults as children. Find out the number of children in the bus at first.

Using algebra
Let u = number of children at the end
3u = 48 + 10 – 16 = 42
u = 42 ÷ 3 = 14
number of children at first = 14 + 16 = 30

Another way is to use bar model to illustrate the problem before solving.
Solution:Top School Exam Paper Grade 4 Whole Numbers

Is there any simpler way to solve it without using any algebra or bar models. Or should this type of question be excluded from year 4?

2. ### frustumStar commenter

If you think about the situation at the end, you know there are now 42 passengers, with twice as many adults as children. (This is similar to what you've done with the algebra.) So you could argue that it's only a couple of steps harder than "There are 42 passengers on a bus, and twice as many adults as children. How many children?" If you've done that sort of problem (I've lost track of the new curriculum), then this would be a good extension problem for any very able children. The hardest thing is seeing how to start it.