Ming, Nordin and Owen had 70 toy cars altogether. After Nordin gave Owen 6 toy cars and Ming lost 10 toy cars, the 3 boys ended up with the same number of you cars. Find the number of toy cars that Owen had at first
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Well if ming lost 10 that leaves you with 60 toys split 3 ways which is 20 each but since nor din gave away 6 to Owen your answer will be 14 Owen started with 14 toys and nor din had 26 while ming had 30
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Let the number of toys be m, n and o respectively.
so, after the losses and exchanges we have:
Ming --> m - 10
Nordin --> n - 6
Owen --> o + 6
so, m - 10 = n - 6....n - 6 = o + 6.....and m - 10 = o + 6
i.e. m - n = 4...(1)
=> n - o = 12...(2)
=> m - o = 16..(3)
Now, m + n + o = 70
so, m + (m - 4) + (m - 16) = 70
=> 3m - 20 = 70
=> 3m = 90
i.e. m = 30 => n = 26 and o = 14
so, at the beginning, Ming has 30 cars, Nordin has 26 cars and Owen has 14 cars
:)>
so, after the losses and exchanges we have:
Ming --> m - 10
Nordin --> n - 6
Owen --> o + 6
so, m - 10 = n - 6....n - 6 = o + 6.....and m - 10 = o + 6
i.e. m - n = 4...(1)
=> n - o = 12...(2)
=> m - o = 16..(3)
Now, m + n + o = 70
so, m + (m - 4) + (m - 16) = 70
=> 3m - 20 = 70
=> 3m = 90
i.e. m = 30 => n = 26 and o = 14
so, at the beginning, Ming has 30 cars, Nordin has 26 cars and Owen has 14 cars
:)>
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Total number of cars = 70
M + N + O = 70
Turn the second sentence into an equation also
N - 6 = O + 6 = M - 10
Rearrange:
N = O + 12
M = O + 16
Substitute into first equation:
O + 16 + O + 12 + O = 70
Solve for O:
3O + 28 = 70
3O = 42
O = 14
Owen initially had 14 cars
M + N + O = 70
Turn the second sentence into an equation also
N - 6 = O + 6 = M - 10
Rearrange:
N = O + 12
M = O + 16
Substitute into first equation:
O + 16 + O + 12 + O = 70
Solve for O:
3O + 28 = 70
3O = 42
O = 14
Owen initially had 14 cars
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Ming = x cars
Nordin = y cars
Owen = 70 - x - y
Ming lost 10 remaining, x - 10
Nordin gave Owen 6 remaining y - 6
Owen now has 76 - x - y
Now x - 10 = y - 6 = 76 - x - y
x - 10 = y - 6
x - y = 10 -6
x - y = 4, y = x - 4
x - 10 = 76 - x - y
x - 10 = 76 - x - (x - 4)
x - 10 = 76 - x - x + 4
x - 10 = 80 - 2x
3x = 90
x = 30
y = 30 - 4 = 26
Owen first had, 70 - 30 - 26 = 14
Nordin = y cars
Owen = 70 - x - y
Ming lost 10 remaining, x - 10
Nordin gave Owen 6 remaining y - 6
Owen now has 76 - x - y
Now x - 10 = y - 6 = 76 - x - y
x - 10 = y - 6
x - y = 10 -6
x - y = 4, y = x - 4
x - 10 = 76 - x - y
x - 10 = 76 - x - (x - 4)
x - 10 = 76 - x - x + 4
x - 10 = 80 - 2x
3x = 90
x = 30
y = 30 - 4 = 26
Owen first had, 70 - 30 - 26 = 14