word problem

Brice has 1200 in the bank. He wants to save a total of 3000 by depositing 40 per week from his paycheck. How many weeks will it take until he saves 3000? Remaining Savings = 3,000 - 1,200 = 1,800 40 per week * x weeks = 1,800 40x = 1800 Divide each side of the equation by 40 x = 45 weeks

Dan makes 11 an hour working at the local grocery store. Over the past year he has saved 137.50 toward a new pair of retro sneakers. If sneakers cost 240, how many hours will he need to be able to buy the sneakers? Figure out his remaining savings target: 240 - 137.50 = 102.50 Let x equal the...

Laura spent half of her money on a necklace. She spent 14.60 of what was left having dinner with carolyn. if she had 3.90 left, how much money did she start out with? Let x equal Laura's starting money 1/2x = 14.60 + 3.90 1/2x = 18.5 Divide each side by 1/2 x = $37

In 1910, the population of math valley was 15,000. If the population is increasing at an annual rate of 2.4%, what was the population in 1965? 1965 - 1910 = 55 years of growth. P(1965) = 15,000 * (1.024)^55 P(1965) = 15,000 * 3.68551018049 P(1965) = 55282.652707 ~ 55,283

On Monday, 417 students went on a trip to the zoo. All 7 buses were filled and 4 students had to travel in cars. How many students were in each bus? 417 - 4 in cars = 413 413 students remaining / 7 cars = 59 students per bus

jamie needs 3 cups of flour and 4 cups of sugar how many cups of sugar will she need if she uses 9 cups of flour? Set up a proportion of flour/sugar: 3/4 = 9/x Cross multiply or enter that into the search engine 3x = 36 x = 12

$9 - $3 delivery fee is $6 to spend. $6 / $2 per balloon = 3 balloons.

two mechanics worked on a car. the first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. together they charged a total of 1225. what was the rate charged per hour by each mechanic if the sum of the two rates was 170 per hour? Set up two equations: (1) 10x + 5y = 1225...

You are comparing the costs of producing shoes at two different manufacturers. Company 1 charges $5 per pair of shoes plus a $650 flat fee. Company 2 charges $4 per pair of shoes plus a $700 flat fee. How many pairs of shoes are produced when the total costs for both companies are equal? Let s...

175/n = 25 25n = 175 Divide each side by 25 n = 7 classes

a textbook store sold a combined total of 296 sociology and history text books in a week. the number of history textbooks sold was 42 less than the number of sociology textbooks sold. how many text books of each type were sold? Let h = history book and s = sociology books. We have 2 equations...

jake did 92 sit-ups each day that he exercised. if he exercised every day for 4 weeks approximately how many setups did he do? 7 days per week * 4 weeks = 28 days 92 sit-ups per day * 28 days = 2,576 sit-ups

todd has a bag of 150 pieces of candy. every weekday he eats 2 pieces and 3 pieces on weekends until he has no more left. So each week, he eats 2*5 + 3*2 = 10 + 6 = 16 pieces 16 per week * 9 weeks = 144 pieces 150 - 144 = 6 pieces left 3 weekdays * 2 pieces per weekday = 6. So, Todd ate all...

Happy Paws charges $16.00 plus $1.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $2.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours. Happy Paws...

Brighthouse charges $120 a month for their basic plan, plus $2.99 for each on demand movie you buy. Write and solve and inequality to find how many on demand movies could you buy if you want your bill to be less than $150 for the month. Let x equal to the number room movie rentals per month...

$69.99 per apple / 200 apples We want the price per apple. Divide top and bottom by 200 $0.35 per apple.

120/3/4 = x/6 Cross multiply: 0.75x = 720 Divide each side of the equation by 0.75 x = 960

Mario buys 3 postcards during each day of vacation. After 4 days of vacation, how many total post cards will Mario have bought? 3 postcards per day x 4 days of vacation = 12 postcards

The seven pencils cost $24 - $10 = $14. $14 / 7 pencils = $2 per pencil.

So x + y <=18 y = x + 1 x + x + 1 <=18 2x + 1 <= 18 Subtract 1 from both sides 2x <= 17 x<=8.5 --> 8 So we have {(0,1),(1,2),(2,3),(3,4),(4,5),(5,6),(6,7),(7,8),(8,9)}