Working out profits and loss from a tombola ticket sale

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One hundred tombola tickets were sold at 25p each, generating a total of £25 in revenue. Tickets ending in '5' incur a loss of 50p for each of the 19 winning tickets, totaling £9.50, while tickets ending in '0' incur a loss of £10 for 10 winning tickets. The initial profit calculation of £25 minus the total losses results in a profit of £5.50. A question arises about whether the ticket numbered "50" wins both prizes, which could affect the final profit calculation. Clarification on this point is needed to confirm the accuracy of the profit figure.
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Homework Statement


One hundred tombola tickets were sold, numbered 1-100, at 25p each.
Each ticket which included a '5' won a prize costing 50p. Each ticket ending with a '0' won a prize costing £1. If all 100 tickets were sold, how much profit was made?

Homework Equations


100 tickets costing 25p that's 100 x 25p = £25 profit
But we know there are:
20 tickets with '5's win 50p, so that's 20 x 50p = £10 loss
and 10 tickets with '0's win £1, so 10 x £1 = £10 loss

The Attempt at a Solution


That's a profit of £25 - (2x£10) = £5

Am I correct please?
 
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Natasha1 said:
But we know there are:
20 tickets with '5's win 50p,
You sure about that?
 
Ahh thanks for spotting that!

Is the answer...

100 tickets costing 25p that's 100 x 25p = £25 profit

But we know there are:
19 tickets with '5's win 50p, so that's 19 x 50p = £9.50 loss
and 10 tickets with '0's win £1, so 10 x £1 = £10 loss

The Attempt at a Solution


That's a profit of £25 - £19.50 = £5.50
 
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Natasha1 said:
Ahh thanks for spotting that!

Is the answer...

100 tickets costing 25p that's 100 x 25p = £25 profit

But we know there are:
19 tickets with '5's win 50p, so that's 19 x 50p = £9.50 loss
and 10 tickets with '0's win £1, so 10 x £1 = £10 loss

The Attempt at a Solution


That's a profit of £25 - £19.50 = £5.50
Yes, that looks good.

Added in Edit:

This may not be correct. See what "Halls" says in the next post.
 
Last edited:
Each ticket which included a '5' won a prize costing 50p. Each ticket ending with a '0' won a prize costing £1.
Does the ticket numbered "50" win both?
 
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