Answer:
Tickets sold in July = 570
Tickets sold in August = 684
Step-by-step explanation:
Total tickets sold in July and August= 1254
Let the number of tickets sold in July be x
Tickets sold in August = 20% of x + x
⇒[tex]\frac{x}{5} + x[/tex] = [tex]\frac{6x}{5}[/tex]
Total tickets = Tickets sold in July + Tickets sold in August
1254 = [tex]x + \frac{6x}{5}[/tex]
1254 = [tex]\frac{11x}{5}[/tex]
x = [tex]\frac{1254 * 5}{11}[/tex]
x = 114 × 5
⇒ 570
Tickets sold in July = 570
Tickets sold in August = 1254 - 570 = 684
570 tickets were sold in July, and 684 tickets were sold in August
To solve this question, we make use of the following representations:
So, we have the following equations
Simplify the second expression above
[tex]x = (1 + 0.20) \times y[/tex]
[tex]x = 1.20 \times y[/tex]
[tex]x = 1.2y[/tex]
Substitute 1.2y for x in [tex]x + y = 1254[/tex]
[tex]1.2y + y = 1254[/tex]
[tex]2.2y = 1254[/tex]
Divide both sides by 2.2
[tex]y = 570[/tex]
Recall that:
[tex]x = 1.2y[/tex]
So, we have:
[tex]x = 1.2 \times 570[/tex]
[tex]x = 684[/tex]
Hence, 570 tickets were sold in July, and 684 tickets were sold in August
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