Emek and Luna followed a map toward a hidden mountain camp. At the first checkpoint, they collected 36 trail tokens. At the second, they found 28 more, giving them 64 tokens. A gate required 16 tokens to open, leaving 48. At the final checkpoint, the map told them to share the remaining tokens equally among 6 marked boxes. Emek and Luna placed 8 tokens in each box. The box marked with 8 revealed the correct trail, and they followed it to the hidden camp.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Think about what happened to the tokens in order: collect, use some, then share the rest.
Emek says they can find the number of tokens for each box with (36 + 28 - 16) / 6. Why does this calculation work?
It adds all the tokens, removes the 16 used at the gate, and then shares the remaining tokens equally among 6 boxes.It shares the 36 tokens first and then adds the 28 tokens.It adds the 16 gate tokens to the total and then makes 6 more tokens.It divides the 16 gate tokens equally among the 6 boxes.Correct! The calculation follows the steps of the story in the correct order.
Try again. Follow what happened to the tokens from the two checkpoints to the gate and then to the boxes.
Next🎉 Congrats! You got this question!
Hint
First find the total number of tokens, subtract 22, and then see whether the result can be shared equally among 6 boxes.
Suppose the gate had required 22 tokens instead of 16. Emek and Luna would still have collected 36 tokens and then 28 more. If they shared the tokens left after the gate equally among 6 boxes, how many tokens would be left over after putting the same whole number of tokens in each box?
Correct! The remaining tokens can be shared equally with none left over.
Try again. Find 36 + 28 - 22, then divide the result into 6 equal groups.
Next🎉 Congrats! You got this question!
Hint
First find how many tokens were placed in all 6 boxes. Then add the tokens used at the gate.
Luna checks their work by multiplying 8 tokens per box by 6 boxes and then adding the 16 tokens used at the gate. What should she get if their work is correct?
48 tokens56 tokens64 tokens80 tokensCorrect! The check gives 64 tokens, the same number they collected.
Try again. Calculate 8 x 6, then add 16.
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🎉 Congrats! You finished this challenge set!
