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4 years ago

14

The ABC Book club charges a $40 monthly fee, plus $2 per book read in that month. The Easy Book Club charges a $35 monthly fee,

plus $3 per book read in that month. For each club, how many books must be read in 1 month for the total charges from each club to be equal?

1 answer:

alina1380 [7]4 years ago

8 0

Answer:

5 books must be read in 1 month for the total charges from each club to be equal.

Step-by-step explanation:

Monthly Charges of ABC club = 40$

Per book read charges of ABC club = 2$

amount of book read = x

Total charges of ABC club = 40 + 2x

Monthly Charges of Easy book club = 40$

Per book read charges of Easy Book club = 3$

Total charges of Easy book club = 35 + 3x

To calculate how many books must be read in 1 month for the total charges from each club to be equal,

Total charges of ABC club = Total charges of Easy book club

40 + 2x = 35 + 3x

40 - 35 = 3x -2x

5 = x

x = 5

Therefore, 5 books must be read in 1 month for the total charges from each club to be equal.

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Answer:

The order from greatest to least :

Project B > Project A > Project D > Project C

Step-by-step explanation:

Project A : A 20-inch by 15-inch blueprint with a scale of 1 inch to 4 feet and a projected cost of $22,000.

Scale factor = $\frac{1 inch}{4 feet}$

Length of the office building on blueprint = l =20 inch

Width of the office building on blueprint = b =15 inch

Real length of the office building on blueprint = L

= $\frac{1 inch}{4feet}=\frac{20 inch}{L}$

L = 80 feet

Real width of the office building on blueprint = B

$\frac{1 inch}{4feet}=\frac{15 inch}{B}$

B = 60 feet

Area of the building = $L\times B=80 ft\times 60=4800 ft^2$

Cost of project = $22,000

Cost of project per square foot = $\frac{\$22,000}{4800 ft^2}=4.58 \$/ft^2$

Project B : A 10-inch by 8-inch blueprint with a scale of 1 inch to 8 feet and a projected cost of $25,000.

Scale factor = $\frac{1 inch}{8 feet}$

Length of the office building on blueprint = l =10 inch

Width of the office building on blueprint = b =8 inch

Real length of the office building on blueprint = L

= $\frac{1 inch}{8feet}=\frac{10 inch}{L}$

L = 80 feet

Real width of the office building on blueprint = B

$\frac{1 inch}{8feet}=\frac{8 inch}{B}$

B = 64 feet

Area of the building = $L\times B=80 ft\times 64=5120 ft^2$

Cost of project = $25,000

Cost of project per square foot = $\frac{\$25,000}{5120 ft^2}=4.88 \$/ft^2$

Project C : A 15-inch by 12-inch blueprint with a scale of 1 inch to 6 feet and a projected cost of $27,000.

Scale factor = $\frac{1 inch}{6 feet}$

Length of the office building on blueprint = l =15 inch

Width of the office building on blueprint = b =12 inch

Real length of the office building on blueprint = L

= $\frac{1 inch}{6 feet}=\frac{15 inch}{L}$

L = 90 feet

Real width of the office building on blueprint = B

$\frac{1 inch}{6feet}=\frac{12 inch}{B}$

B = 72 feet

Area of the building = $L\times B=90 ft\times 72ft=6480 ft^2$

Cost of project = $27,000

Cost of project per square foot = $\frac{\$27,000}{6480ft^2}=4.17\$/ft^2$

Project D :An 8-inch by 6-inch blueprint with a scale of 1 inch to 12 feet and a projected cost of $30,000

Scale factor = $\frac{1 inch}{12 feet}$

Length of the office building on blueprint = l = 8 inch

Width of the office building on blueprint = b =6 inch

Real length of the office building on blueprint = L

= $\frac{1 inch}{12 feet}=\frac{8 inch}{L}$

L = 96 feet

Real width of the office building on blueprint = B

$\frac{1 inch}{12feet}=\frac{6 inch}{B}$

B = 72 feet

Area of the building = $L\times B=96 ft\times 72ft=6912 ft^2$

Cost of project = $27,000

Cost of project per square foot = $\frac{\$30,000}{6912ft^2}=4.34\$/ft^2$

Project B > Project A > Project D > Project C

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