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2 years ago

ABC Bookstore sells new books, n, for $12, and used books, u, for $8. The

Mathematics

1 answer:

Helen [10]2 years ago

6 0

Answer:

D.) $12n + $8u = 112 ;u = 4 + n

Step-by-step explanation:

Given that :

Cost per new books (n) = $12

Cost per used book (u) = $8

Total revenue earned = $112

store sold 4 more used books than new books

Hence,

Total revenue should be :

Revenue from new books + Revenue from used book = total revenue

Revenue from new books = $12 * n = $12n

Revenue from used books = $8 * n = $8n

$12n + $8u = 112

Number of books sold :

Number of used books sold = 4 + number of new books sold

u = 4 + n

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nata0808 [166]

The largest possible complete design that can be painted on a 24’ x 16’ wall is 252' by 189'

<h3>Scale drawing</h3>

Scale drawing involves drawing a drawing in a different size and dimension that is proportional to the original dimension

<h3>Dimensions</h3>

The dimensions of the design for the farm scene painting is given as:

$12" \times 9"$

The dimensions of the wall is given as:

$24' \times 16'$

Convert feet to inches

$24' \times 16' = (24 \times 12") \times (16 \times 12")$

$24' \times 16' = (288") \times (192")$

Divide the dimensions of the wall by the painting to get the scale ratios (k)

$k = \frac{288}{12}$

$k = 24$

Also, we have:

$k =\frac{192}{9}$

$k =21.33$

Remove decimal (do not approximate)

$k =21$

By comparison;

21 is less than 24

Multiply 21 by the dimensions of the painting

So, we have:

$Length = 12 \times 21 = 252$

$Width = 9 \times 21 = 189$

Hence, the largest possible complete design that can be painted on a 24’ x 16’ wall is 252' by 189'