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Question
A community center printed between and raffle tickets. If these tickets are grouped into bundles of , there are tickets left over, but if they are grouped into bundles of , there are tickets left over. How many tickets did they print?
Answer Choices
- A.
- B.
- C.
- D.
- E.
Steps
| Explanation | Calculations | Help |
|---|---|---|
We name the variable for the number of tickets and translate the first remainder condition "If these tickets are grouped into bundles of 6, there are 3 tickets left over". | Theory & Tactics Method Card TRANS5-F Click to view full details | |
We translate the second remainder condition "but if they are grouped into bundles of 7, there are 2 tickets left over". | Theory & Tactics Method Card TRANS5-F Click to view full details | |
We list all possible values between 50 and 70 that satisfy . | ||
We test these values in and find that 51 satisfies the condition. |
Scroll horizontally to view all columns
Final Answer
A
Question
A community center printed between and raffle tickets. If these tickets are grouped into bundles of , there are tickets left over, but if they are grouped into bundles of , there are tickets left over. How many tickets did they print?
Answer Choices
- A.
- B.
- C.
- D.
- E.
Steps
| Explanation | Calculations | Help |
|---|---|---|
We name the variable for the number of tickets and translate the first remainder condition "If these tickets are grouped into bundles of 6, there are 3 tickets left over". | Theory & Tactics Method Card TRANS5-F Click to view full details | |
We translate the second remainder condition "but if they are grouped into bundles of 7, there are 2 tickets left over". | Theory & Tactics Method Card TRANS5-F Click to view full details | |
We list all possible values between 50 and 70 that satisfy . | ||
We test these values in and find that 51 satisfies the condition. |
Scroll horizontally to view all columns
Final Answer
A