Suppose you play a game with your friends. You tell your friends to cach pick a

Question

Suppose you play a game with your friends. You tell your friends to cach pick a number, and then you tell them to: 1. Multiply their number by 4. 2. Subtract 9 from that number 3. Divide that number by 3 Once they do that, they each tell you their number. a. Gregory tells you his "new" number is -9.667. What number did Gregory start with? Preview b. Alexis tells you her "new" number is 11. What number did Alexis start with? *Preview c. Dustin tells you his "new" number is 155.667. What number did Dustin start with? Preview|

Explanation / Answer

a) let gregory picked x

(4 x - 9 )/ 3 = -9.667

multiplying both sides by 3

4x - 9 = 3 * -9.667

x = -5.0025

hence, gregory picked -5.0025

b)  (4 x - 9 )/ 3 = 11

4x - 9 = 33

x = 21/2

alexis picked 21/2

c)  (4 x - 9 )/ 3 = 155.667

4x - 9 = 3* 155.667

x = 119.00025

hence, dustin picked 119.00025

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