Question posted by Wilfred from Singapore:
Grade/Level: P4
Question solved by Model Method: a total of 240 children and adults went for a school concert. there were 60 more children than adults at the concert. if the number of boys was 5 times the number of girls at the concert. how many boys were at the concert?
Answer:
Step 1: First draw 2 identical boxes to represent an equal number of children and adults.
Step 2: Since there are 60 more children than adults, we draw an additional box for the 60 extra children.
Step 3: Next, we draw a bracket to the extreme right to show the total of 240 people who went to the concert.
Step 4: We work out the number of children.
240 - 60 = 180
2 units ---------- 180
1 unit ---------- 180 / 2 = 90
90 + 60 = 150
Thus, there were 150 children at the concert.
Step 5: Next, we draw a second model to show the number of boys and girls. Since the number of boys was 5 times the number of girls at the concert, we draw 5 boxes to represent the number of boys and 1 box to represent the number of girls.
Step 6: Next, we draw a bracket to the extreme right of the second model to show the total of 150 children at the concert.
From the model,
6 units ---------- 150
1 unit ---------- 150 / 6 = 25
5 units ---------- 25 x 5 = 125
There are 125 boys at the concert.