单选题If a=3b=2c, then 6a is equal to which of the following expressions?Ⅰ. 12cⅡ. 6b+8cⅢ. 2b+10cAⅠ and II onlyBⅠ, Ⅱ and ⅢCⅠ onlyDⅢ onlyENone
单选题
If a=3b=2c, then 6a is equal to which of the following expressions?Ⅰ. 12cⅡ. 6b+8cⅢ. 2b+10c
A
Ⅰ and II only
B
Ⅰ, Ⅱ and Ⅲ
C
Ⅰ only
D
Ⅲ only
E
None
参考解析
解析：
Determine whether each Roman numeral expression is equal to 6a.
Ⅰ. Since 12c=6(2c)=6a, Statement Ⅰ is true.
Ⅱ. Since 6b+8c=2(3b)+4(2c)=2a+4a=6a, Statement Ⅱ is true.
Ⅲ. Since 2b+10c=2b+5(2c)=2b+5(3b)=17b≠6a, Statement Ⅲ is false.
Determine whether each Roman numeral expression is equal to 6a.
Ⅰ. Since 12c=6(2c)=6a, Statement Ⅰ is true.
Ⅱ. Since 6b+8c=2(3b)+4(2c)=2a+4a=6a, Statement Ⅱ is true.
Ⅲ. Since 2b+10c=2b+5(2c)=2b+5(3b)=17b≠6a, Statement Ⅲ is false.
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