5. The lottery ticket sales for August were 20% above the sales for July. If the total number of lottery tickets sold during July and Augustis 1254, how many tickets were sold each month?
In July
lottery tickets were sold.
In August
lottery tickets were sold

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

Substitute 1.2y for x in

Divide both sides by 2.2

Recall that:

So, we have:

Hence, 570 tickets were sold in July, and 684 tickets were sold in August

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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

⇒ =

Total tickets = Tickets sold in July + Tickets sold in August

1254 =

1254 =

x =

x = 114 × 5

⇒ 570

Tickets sold in July = 570

Tickets sold in August = 1254 - 570 = 684

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