SOLUTION: Abiodum and Taiwon share 735 sweets between them so that Abiodum get 95 sweets more than Taiwon. Find how many sweets each get?
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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
:
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.
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
The solution from the other tutor, using two variables, is fine -- but it requires a lot of extra algebra to reach the solution.
With the given information in the given form, a solution using a single variable is much easier.
x = # of sweets that Taiwon gets
x+95 = # of sweets that Abiodum gets
The total number of sweets is 735:
ANSWERS:
Taiwon gets x=320 sweets
Abiodum gets x+95=415 sweets
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.
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
m, abiodum
n, taiwon
If add corresponding sides
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