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Answer:
5
Step-by-step explanation:
Let the number of the kitchen clock sold =a
Let the number of the cuckoo clock sold =b
Let the number of the two-foot high grandfather clocks sold =c
The new saleswoman sold at least two of each of the three models.
Therefore:
In all, she collected $300 from selling these models alone
17a+31b+61c=300
17(2)+31(2)+61(2)=218
300-218=82
Next, we try to express the remainder (82) in terms of 17, 31 and 61
82=17(3)+31
Therefore, she sold:
- 5 kitchen clocks
- 3 cuckoo clocks
- 2 two-foot high grandfather clocks
She sold 5 $17 clocks.
CHECK:
17(5)+31(3)+2(61)=$300