My Question is this Mariel had a box of baseball cards. She kept 2/7 of the cards and gave 5/7 of the cards to Javier.

Answer 1

the number of cards she had should be a whole number, a non negative integer and divisible evenly by 7

smallest number would be 7. she kept 2 and gave 5 away

largest number, less than one thousand, would be 994. she kept 284 and gave away 710

originally she had

7, 14, 21, 28, 35, .... or 994 cards, some integer multiple of 7

how to tell 994 is divisible by 7? use a calculator or do long division

or use the "rule of 7s" take 4 and double it, subtract 8 from 99 = 91

take 1 double it to get 2, 9-2 = 7 which is divisible by 7

if the remaining number is 7 or 0, the original number is divisible by 7