Question 1195839: Abiodum and Taiwon share 735 sweets between them so that Abiodum get 95 sweets more than Taiwon. Find how many sweets each get? Found 3 solutions by ankor@dixie-net.com, greenestamps, josgarithmetic:Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! a = no. Abiodum's sweets
b = Taiwon's sweets
:
Write an equation for each statement, use elimination here
:
Abiodum and Taiwon share 735 sweets between them
a + t = 735
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so that Abiodum get 95 sweets more than Taiwon.
a = t + 95
or for elimination we can write it
a - t = 95
:
Find how many sweets each get?
Use elimination with these two equations
a + t = 735
a - t = 95
-----------------adding eliminates t, find a
2a + 0 = 830
a = 830/2
a = 415 sweets
find t using the 2nd equation
t + 95 = 415
t = 415 - 95
t = 320 sweets
:
You can add them up to confirm the answer.
And here is an informal solution, using logical reasoning and simple mental arithmetic, that gets the answers using exactly the same path as the formal algebraic solution above:
(1) Take away the "extra" 95 sweets that Abiodum has; that leaves 640 sweets, with equal numbers for both.
(2) Divide the 640 by 2 to find each of them gets 320; that is Taiwon's share.
(3) Add the "extra" 95 to the 320 that Abiodum gets to get his total of 415.
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