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Model Method - Questions and Answers

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.

$model-method-questions-and-answers-321$
Step 2: Since there are 60 more children than adults, we draw an additional box for the 60 extra children.
$model-method-questions-and-answers-322$
Step 3: Next, we draw a bracket to the extreme right to show the total of 240 people who went to the concert.
$model-method-questions-and-answers-323$
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.

$model-method-questions-and-answers-324$
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.
$model-method-questions-and-answers-325$
From the model,

6 units ---------- 150

1 unit ---------- 150 / 6 = 25

5 units ---------- 25 x 5 = 125

There are 125 boys at the concert.

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