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Anna has a number of tickets to sell for a play. On Monday she sells 35% of these tickets. On Tuesday she sells another 3/5 of these tickets. She then has 42 tickets left. How many did she sell on Monday?

User Spassas
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Answer: Anna sold 56 tickets on Monday

Step-by-step explanation: Let’s call the number of tickets Anna has to sell “x”.

On Monday, Anna sells 35% of these tickets. That means she sells 0.35x tickets.

On Tuesday, she sells another 3/5 of the remaining tickets. That means she sells 0.6(0.65x) = 0.39x tickets.

After these two days of selling, Anna has 42 tickets left. So we can set up an equation:

x - 0.35x - 0.39x = 42

Simplifying this equation gives us:

0.26x = 42

Solving for x gives us:

x = 161.54

So Anna had 161 tickets to sell in total.

To find out how many tickets she sold on Monday, we can multiply the total number of tickets by the percentage she sold on Monday:

0.35 * 161 = 56.35

So Anna sold 56 tickets on Monday

User Maxum
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