# SOLUTION: Allie has three fewer than twice the number of coins that Jonathan has. If Jonathan gave 2 coins to Allie, she would have three time as many coins as he would. How many coins does

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 Click here to see ALL problems on Miscellaneous Word Problems Question 471207: Allie has three fewer than twice the number of coins that Jonathan has. If Jonathan gave 2 coins to Allie, she would have three time as many coins as he would. How many coins does Allie have? a. 2 b. 3 c. 5 d. 7 e. 9Answer by ankor@dixie-net.com(15652)   (Show Source): You can put this solution on YOUR website!Allie has three fewer than twice the number of coins that Jonathan has. If Jonathan gave 2 coins to Allie, she would have three time as many coins as he would. How many coins does Allie have? : Let a = no. of coins that A has Let j = no. of coins that J has : Write an equation for each statement: : "Allie has three fewer than twice the number of coins that Jonathan has." a = 2j - 3 : "If Jonathan gave 2 coins to Allie, she would have three time as many coins as he would." 3(j-2) = a + 2 3j - 6 = a + 2 3j = a + 2 + 6 3j = a + 8 replace a with (2j-3) 3j = (2j-3) + 8 3j - 2j = -3 + 8 j = 5 coins has J originally then a = 2(5) - 3 a = 7 coins has Allie