Model Method - Questions and Answers


Question posted by Agnely from Cidra PR:

Grade/Level: 6th

Question solved by Model Method: John and Max had an equal amount of money each. After john spent $25 and Max spent $18, the ratio of John's money to Max money was 2:3. How much money did each boy have at first?

Answer:


Step 1: This question involves the Non-Constant Transfer Concept. It is easier to start from the "After" model. Since the ratio of John's money to Max money was 2:3 after the transfer, we draw 2 boxes to represent the amount of money John had and draw 3 boxes to represent the amount of money Max had.

model-method-questions-and-answers-521


Step 2: As both of them had the same amount of money before John spent $25 and Max spent $18, we draw 1 box next to John to represent the $25 spent by him and draw 1 box next to Max to represent the $18 spent by him.

model-method-questions-and-answers-522


Step 3: Next, we draw a bracket on the top to represent the amount of money each of them had before the spending (denoted by "?").

model-method-questions-and-answers-523


From the model,

1 unit -----------> $25 - $18 = $7

2 units ----------> 2 x $7 = $14

$14 + $25 = $39

Therefore, each boy had $39 at first.





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