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svlad2 [7]
3 years ago
10

Mr. Sanchez bought some book s at the book sale, including 15 paperbacks books. 75% of all the books he bought were paperbacks.

How many books did Mr. Sanchez buy in all
Mathematics
1 answer:
goblinko [34]3 years ago
4 0

Answer:

Sanchez bought 20 books.

Step-by-step explanation:

Represent the total number of books purchased by t.  Then:

0.75n = 15.  Thus, n = 20.

Sanchez bought 20 books.

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two types of tickets were sold for a concert held at an amphitheater. Tickets to sit on a bench during the concert cost $75 each
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Answer:

Tickets to sit on the bench (b) = 150

Tickets to sit on the lawn (l) = 200

Step-by-step explanation:

Tickets to sit on a bench (b)cost $75 each.

Tickets to sit on the lawn (l) cost $40 each

350 tickets had been sold

$19,250 had been raised through tickets sales

This forms a simultaneous equation:

b + l = 350 ... (i)

75b + 40l = 19,250 ... (ii)

Multiplying (i) by 40 and (ii) by 1 we get;

40b + 40l = 14,000 ... (i)

75b + 40l = 19,250 ... (ii)

Subtracting (ii) - (i) we get;

35b = 5250

b = 5250 ÷ 35 = 150

So there were 150 tickets to sit on a bench and 350 - 150 = 200 tickets to sit on the lawn.

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