**At Ai Tong Restaurant, the charge for the buffet lunch per person is $15. For every group of 10 people, the 11th person does not have to pay.(a) What will be the total charge for a party of 23 people?(b) How many people are there in the group if the bill comes up to $720?**

**Solution**

10 people ----- 10 x $15 = $150

11th person ----- free

1 group of 11 ----- $150

(a) What will be the total charge for a party of 23 people?

23 people ----- 2 groups of 11 people + 1 individual

2 groups of 11 ----- 2 x $150 = $300

1 individual ----- $15

Total ----- $300 + $15 = $315

**Answer: The charge for a party of 23 people is $315.**

(b) How many people are there in the group if the bill comes up to $720?

For every $150 ----- 11 people

$720 ----- $600 + $120

$600 ----- $600 divided by $150 = 4 (groups of 11 people)

$120 ----- $120 divided by $15 = 8 individuals

Therefore, $720 ----- 4 groups of 11 people + 11 individuals

(4 x 11) + 8

= 44 + 8

= 52

**Answer: There are 52 people if the bill comes up to $720.**

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