A discount store prices its videotapes by raising the wholesale price by 40% and adding $0.20. What must the tapes’ wholesale price be if the tapes sell for $3.00?

The daily charge for a small rental car is c = 18 + .35x where x is the number of miles driven.

1) If the car was driven 80 miles, what was the charge?

2) Suppose that a day’s bill was $39.00. How many miles were driven?

The profit obtained for a company’s product is given by the formula P = 25x – 8150, where P is the profit in dollars and x is the number of units sold. How many units must be sold in order for the company to have a profit of $5,000.00 from this product?

A salesman’s weekly salary is based on the formula S = 200 + 0.1s, where S is the week’s salary in dollars and s is the week’s sales level in dollars. One week, his salary was $410.00. What was the sales level for that week?

The volume of a box with a rectangular bottom is given by V = 120h, where V is the volume in cubic inches and h is the height in inches. If the volume of the box is to be 1,140 cubic inches, what should its height be?

## Math Word Problems!?!?

October 8th, 2012 admin

A discount store prices its videotapes by raising the wholesale price by 40% and adding $0.20. What must the tapes’ wholesale price be if the tapes sell for $3.00?

$2.00 <--- answer ------------------------------ The daily charge for a small rental car is c = 18 + .35x where x is the number of miles driven. 1) If the car was driven 80 miles, what was the charge? $46 <--- answer 2) Suppose that a day's bill was $39.00. How many miles were driven? 6 miles. ------------------------------- The profit obtained for a company's product is given by the formula P = 25x - 8150, where P is the profit in dollars and x is the number of units sold. How many units must be sold in order for the company to have a profit of $5,000.00 from this product? 20326 <--- answer ----------------------------- A salesman's weekly salary is based on the formula S = 200 + 0.1s, where S is the week's salary in dollars and s is the week's sales level in dollars. One week, his salary was $410.00. What was the sales level for that week? $408,000 ------------------------------- The volume of a box with a rectangular bottom is given by V = 120h, where V is the volume in cubic inches and h is the height in inches. If the volume of the box is to be 1,140 cubic inches, what should its height be? h=9.5 ~David

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A discount store prices its videotapes by raising the wholesale price by 40% and adding $0.20. What must the tapes’ wholesale price be if the tapes sell for $3.00?

work backwards

3.00 – 0.20 = 2.80

2.80 – 140%

2.80 * 100 / 140 = $2.00

The daily charge for a small rental car is c = 18 + .35x where x is the number of miles driven.

1) If the car was driven 80 miles, what was the charge?

18 + 0.35 * 80 = $46

Please write 0.35x, not .35x that is not the proper mathematical expression

2) Suppose that a day’s bill was $39.00. How many miles were driven?

total charge – daily rate = charge for miles

39 – 18 = 21

charge for miles divided by mileage rate = miles travelled

21 / 0.35 = 60 miles

The profit obtained for a company’s product is given by the formula P = 25x – 8150, where P is the profit in dollars and x is the number of units sold. How many units must be sold in order for the company to have a profit of $5,000.00 from this product?

rearrange the formula to have x on one side

P = 25x – 8150

25x – 8150 = P

25x = P + 8150

x = (P + 8150) / 25

replace P with 5000 and solve

x = (5000 + 8150) / 25

= 526

A salesman’s weekly salary is based on the formula S = 200 + 0.1s, where S is the week’s salary in dollars and s is the week’s sales level in dollars. One week, his salary was $410.00. What was the sales level for that week?

rearrange the formula so s is on one side

S = 200 + 0.1s

200 + 0.1s = S

0.1s = S – 200

multiply both sides by 10

s = 10S – 2000

Plug in the salary

s = 10 * 410 – 2000

=4100 – 2000

= $2,100

The volume of a box with a rectangular bottom is given by V = 120h, where V is the volume in cubic inches and h is the height in inches. If the volume of the box is to be 1,140 cubic inches, what should its height be?

rearrange teh formula so h is on one side

V = 120 h

120 h = V

divide both sides by 120

h = V/120

Plug in the volume for V

h = 1,140 / 120

= 9.5 inches