Question

can you buy 34 book if each coswt 50 cents and you only had twenty dollars?

Answer 1

say we had soft cover books costing 50 cents and board books costing 1.50 could i somehow get 34 books and use up all twenty bucks?

Answer 2

To determine if you can buy 34 books that each cost 50 cents with $20, we first need to calculate the total cost of the books.

Each book costs $0.50, and if you want to buy 34 books, the total cost would be:

\[
34 \text{ books} \times 0.50 \text{ dollars/book} = 17 \text{ dollars}
\]

Now, you have $20. Since $20 is greater than $17, yes, you can buy 34 books for $17 and still have some money left over. Specifically, after the purchase, you would have:

\[
20 \text{ dollars} - 17 \text{ dollars} = 3 \text{ dollars}
\]

So, you can buy the 34 books and have $3 remaining.

Answer 3

To find out if you can buy 34 books using exactly $20, with softcover books costing $0.50 and board books costing $1.50, we can set up the problem with some variables.

Let:
- \( s \) be the number of softcover books.
- \( b \) be the number of board books.

From the information given, you have the following two equations:

1. The total number of books:
\[
s + b = 34
\]

2. The total cost of the books:
\[
0.50s + 1.50b = 20
\]

Now we can solve these equations. To simplify the cost equation, let's multiply everything by 2 to eliminate the decimals:

\[
s + 3b = 40
\]

Now we have two equations to work with:

1. \( s + b = 34 \)
2. \( s + 3b = 40 \)

Next, we can subtract the first equation from the second:

\[
(s + 3b) - (s + b) = 40 - 34
\]
\[
2b = 6
\]
\[
b = 3
\]

Now that we know \( b = 3 \), we can substitute this value back into the first equation to find \( s \):

\[
s + 3 = 34
\]
\[
s = 34 - 3 = 31
\]

So, you can buy 31 softcover books and 3 board books. Let's check the total cost to ensure it equals $20:

- Cost of 31 softcover books: \( 31 \times 0.50 = 15.50 \)
- Cost of 3 board books: \( 3 \times 1.50 = 4.50 \)
- Total cost: \( 15.50 + 4.50 = 20 \)

Thus, yes, you can buy 34 books using up exactly $20, by purchasing 31 softcover books and 3 board books.