In the opening night play, an adult ticket costs P600 and P250 for a child 12 years and below. The number of adults who attended the play was 17 less than six times the number of children. If the total receipts was P575 000, how many adults attended?

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In the opening night play, an adult ticket costs P600 and P250 for a child 12 years and below. The number of adults who attended the play was 17 less than six times the number of children. If the total receipts was P575 000, how many adults attended?

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Answer 1 · 2018-02-17T15:02:54

895 adults

Explanation:

Let A be the number of adults; let C be the number of children.
$A = 6 C - 17$ $A=6C-17$
$P 600 \cdot A + P 250 \cdot C = P 575, 000$ $P600*A+P250*C=P575,000$

Substitute the formula for A

$P 600 \cdot (6 C - 17) + P 250 \cdot C = P 575, 000$ $P600*(6C-17)+P250*C=P575,000$

$P 3600 C - P 10, 200 + 250 C = P 575, 000$ $P3600C-P10,200+250C=P575,000$
$P 3850 C = P 585, 200$ $P3850C=P585,200$

$C = 152$ $C=152$

Substitute into original formula
$A = (6 \cdot 152) - 17 = 895$ $A=(6*152)-17=895$

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In the opening night play, an adult ticket costs P600 and P250 for a child 12 years and below. The number of adults who attended the play was 17 less than six times the number of children. If the total receipts was P575 000, how many adults attended?

1 Answer

Explanation:

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