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andre [41]
3 years ago
6

Gillian purchased 25 books at the library book sale. Each hardcover book cost $1.50, and each paperback book cost $0.50. Gillian

spent a total of $26.50. The book costs can be represented by the system of equations below.
h + p = 25
1.50h + 0.50p = 26.50
How many paperback books did Gillian buy?
Mathematics
2 answers:
stepan [7]3 years ago
3 0
25-14=11 and 26.5-21=5.5
11 paperback books
madam [21]3 years ago
3 0

Answer:

Number of books did Gillian buy is 11.

Step-by-step explanation:    

Given : Gillian purchased 25 books at the library book sale. Each hardcover book cost $1.50, and each paperback book cost $0.50. Gillian spent a total of $26.50.

To find : How many paperback books did Gillian buy?

Solution :

The book costs can be represented by the system of equations below.

h+p= 25 ......(1)

1.50 h + 0.50 p = 26.50 ......(2)

Solving the system of equations by substitution method

Substitute h=25-p from (1) into (2)

1.50(25-p) + 0.50 p = 26.50

37.5-1.50p + 0.50 p = 26.50

p = 11

Substitute back in equation (1),

h+11= 25

h=14

i.e. there are 11 paperback books and 14 hardcover books.

Therefore, Number of books did Gillian buy is 11.

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A sign language club made $627. 50 from selling popcorn at a festival. The popcorn cost the club $95. 0. Which expression repres
solmaris [256]

The expression representing the amount of money that was raised for each member of the club is \dfrac{627.50 - 95.0}{m} (in dollars)

<h3>How to interpret the division? </h3>

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, a \div b = a divided in b equal parts.

Also, we can write: a \div b = a \times \dfrac{1}{b}

(it is since a = a \times 1 so a/b = 1 \times (a/b) = (1/b) \times a )

<h3>How to find the profit earned?</h3>

Profit earned is the extra money which we make after deducing the cost price of the process we're doing.

So, we get:

Profit earned = Total amount earned - Amount spent initially for preparation to earn

P = Selling price (S.P.) = Cost price (C.P.)

For the given case, we're given that:

  • Amount made by the sign language club by selling popcorn at a festival = $627.50
  • The cost price for the popcorn to the club = $95.0

The money raised = Amount made by selling popcorn - amount costed to the club for getting popcorn

Money raised = $627.50 - $95.0

If it is given that: m = number of members in the considered club, then:

Money each member of the considered club will get = Money raised divided in equal m parts = \dfrac{627.50 - 95.0}{m} (in dollars)

(we don't write symbols like of currency generally, and understand it from context.)

Thus, the expression representing the amount of money that was raised for each member of the club is \dfrac{627.50 - 95.0}{m} (in dollars)

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