Problem 3 · 2001 AMC 8
Easy
Arithmetic & Operations
division
Granny Smith has $63. Elberta has $2 more than Anjou, and Anjou has one-third as much as Granny Smith. How many dollars does Elberta have?
Show answer
Answer: E — $23.
Show hints
Hint 1 of 2
Only one person's amount is given outright (Granny, $63). Start from the one you fully know and let each clue point to the next.
Still stuck? Show hint 2 →
Hint 2 of 2
Anjou is tied to Granny, and Elberta is tied to Anjou — so solve them in that order, not the order the sentence lists them.
Show solution
Approach: follow the chain of clues
- Granny's $63 is the only fixed number, so begin there. Anjou has one-third of it: $63 ÷ 3 = $21.
- Elberta has $2 more than Anjou: $21 + $2 = $23.
- The trap is adding the $2 to Granny's $63; "more than Anjou" means build on Anjou. With a chain of comparisons, find the anchor that's stated directly, then step along the links.
Mark:
· log in to save