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11. Determine the number of multiples of 7 between:

 

a. 14 and 210

 

b. −51 and 348

 May 1, 2020
 #1
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a.     

210  =  14 + 7n    subtract 14 from both sides

196  = 7n             divide both sides by 7

28  = n

However....since "between" is stated, we need to subtract 1 from this  =  27  multiples of 7 between 14 and 210

 

b.  similarly

348  = -51 + 7n        add 51  to both sides

399 = 7n          divide both sides by 7

57 = n

 

Suntract 1 from this

56  multiples of 7 between - 51  and 348

 

cool cool cool

 May 1, 2020

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