let the number of adult tickets be x and the number of children tickets be y
x:y = 8:1
On Saturday, x = 147 + y
(147+y):y = 8:1
[tex] \frac{147 + y}{y} = \frac{8}{1} [/tex]
[tex] \frac{147}{y} + [tex] \frac{y}{y} = 8 + 1
[tex] \frac{147}{y} = 8
147 = 8y
∴y = 88
x = 147 + 88
∴ x = 235
so the no of tickets sold on saturday = 235 + 88 = 323
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