SOLUTION: A group of x people organised a coffee morning at a total of $150.
Five of the group were ill and could not join the group .
This meant that each person attending the activity
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Five of the group were ill and could not join the group .
This meant that each person attending the activity
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Question 1201603: A group of x people organised a coffee morning at a total of $150.
Five of the group were ill and could not join the group .
This meant that each person attending the activity had to pay an extra $1 . Form and solve an equation in x . (The answer is 30 )
My working :
x/150 - (x-5)/150=1
x-x+5=150 (then the variables would cancel , which does not make sense )
Could you help me please?
x spend $150 --> cost per person is $150/x
Now (assuming cost remains $150) with 5 fewer people, we are told the cost per person goes up by $1:
new cost per person is original cost per person plus 1:
150/(x-5) = (150/x) + 1
Multiply through by (x): 150x / (x-5) = (150) + x
Multiply through by (x-5): 150x = 150(x-5) + x(x-5)
Simplify:
Factor:
x = 30 or x = -25. Discard negative answer.
Check: $150/30 = $5 per person
$150/25 = $6 per person (ok)
