Question posted by Jino Tolentino from the Philippines:
Grade/Level: Grade 4
Question solved by Model Method: Betty collected 3600 stickers more than Carol. She collected 9 times as many stickers as Carol. Dianne had 145 more stickers than Carol. How many stickers did Dianne have?
Answer:
Step 1: This question involves the
Repeated Variable Concept the
Comparison Concept . Since Betty collected 9 times as many stickers as Carol, we draw 9 boxes to represent Betty and 1 box to represent Carol.
Step 2: And as Betty collected 3600 stickers more than Carol, the extra 8 boxes(8 units) she had must be equivalent to 3600.
Step 3: It was also given that Dianne had 145 more stickers than Carol. So we draw 1 box and another "145" more to show the number of stickers Dianne had.
Thus,
8 units ---------- 3600 stickers
1 unit ---------- 3600 stickers / 8 = 450 stickers
450 stickers + 145 stickers = 595 stickers
Therefore, Dianne had 595 stickers