Question 536470

ali,james and jason share cookies in teh ratio 4:5:1.Ali received 45 cookies more than jason.Find the total number of cookies shared.


Let amount of cookies that Jason received be J
Then amount of cookies that Ali received = J + 45
Let the multiplicative factor be x
Then Ali, James, and Jason each received 4x, 5x, and x amount of cookies, respectively


Therefore, x = J ------ x – J = 0 ---- eq (i), and
4x = J + 45 ---- 4x – J = 45 ------ eq (ii) 


- 3x = - 45 ------ Subtracting eq (ii) from eq (i)


x = {{{(- 45)/- 3}}}, or {{{45/3}}}, or 15


Therefore, Ali received 4x, or 4(15), or {{{highlight_green(60)}}} cookies


James received 5x, or 5(15), or {{{highlight_green(75)}}} cookies


Jason received x, or {{{highlight_green(15)}}} cookies


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