# algebra

a boat weighs 1500 lbs more than its motor and 1900 lbs more than its trailer. Together the boat and motor weigh five times as much as the trailer. How much does the boat weigh?

Please explain or show how to set up the equation.

1. 👍 0
2. 👎 0
3. 👁 240
1. Wt. of motor = X lbs.
Wt. of boat = (X+1500) lbs.
Wt. of trailer=(X+1500)-1900=X-400lbs.

X + (X+1500) = 5(X-400),
2X + 1500 = 5X - 2000,
2X - 5X = -2000 - 1500,
-3X = -3500,

X = 1167 lbs = Wt. of motor.
X+1500 = 2667 lbs = Wt. of boat.

1. 👍 0
2. 👎 0
2. Wt. of motor = X lbs.
Wt. of boat = (X+1500) lbs.
Wt. of trailer=(X+1500)-1900=X-400lbs.

X + (X+1500) = 5(X-400),
2X + 1500 = 5X - 2000,
2X - 5X = -2000 - 1500,
-3X = -3500,

X = 1167 lbs = Wt. of motor.
X+1500 = 2667 lbs = Wt. of boat.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### math

A quart is approximately sixty cubic inches. A cu. ft of water weighs approximately sixty pounds. Therefore, a quart of water weighs, approximately, A. 2 lbs. B. 3 lbs. C. 4 lbs. D. 5 lbs.

2. ### Math

A quart is approximately sixty cubic inches. A cubic feet of water weighs approximately sixty pounds. Therefore, a quart of water weighs approximately A. 2 lbs B. 3 lbs C. 4 lbs D. 5 lbs

3. ### Physics

Which provides more cooling for a styrofoam cooler, one with 10 lbs of ice at 0 degrees C or one with 10 lbs of ice water at 0 degrees C. Explain. qice=mass*heat of fusion. qH2O=mass*specific heat x delta T However, you aren't

4. ### Algebra 2

Given: 11-pound mixture of peanuts, almonds, and raisins Cost: peanuts - 1.5 per pound almonds - 3 per pound raisins - 1.5 per pound mixture: twice as many peanuts as almond; total cost of mixture is 21. a + p + r = 11 lbs a + 2a

1. ### Science- physics

An iron anchor weighs 250 pounds in air and has a weight density of 480 lbs/ft3. If it is immersed in sea water that has a weight density of 64 lbs/ft3, how much force would be required to lift it while immersed? I know the answer

2. ### statistics

The weights of steers in a herd are distributed normally. The standard deviation is 200 lbs and the mean steer weight is 1200 lbs. Find the probability that the weight of a randomly selected steer is less than 1560 lbs. (Round

3. ### Math Word Problem

Cashews sell for \$4.00 per pound and peanuts for \$1.50 per pound. The peanuts didn't sell well, so in order to sell 60 lbs of peanuts the manager decided to mix 60 lbs of peanuts w/ cashews and sell the mixture for \$2.50 per

4. ### math

A fitness company surveyed the weights of its 90 costumers. Assume that the weights are normally distrubted with a mean of 162 lbs and a standard deviation of 3.5 lbs. If you select one of its costumers randomly, what is the

1. ### Math

Bill weighs 150 lbs. He wants to gain 2 lbs per week for football season. Jamal runs track. He wants to lose weight so he can run faster. Jamal weighs 195 lbs and wants to lose 1 lb per week. How many weeks will it take before

2. ### Pre-Calculus Help?

A 5-lb force acting in the direction of (5, -3) moves and object just left over 12 ft. from point (0, 6) to (7, -4). Find the work done to move the object to the nearest foot-pound. a. 11 ft. * lbs b. 34 ft. * lbs c. 56 ft. * lbs

3. ### Chemistry

A child's pain relief elixir contains 80 mg acetaminophen per.50 teaspoon. The dosage recommended for a child who weighs between 24 and 35 lbs is 1.5 teaspoons. What is the range of acetaminophen dosages expressed in mg

4. ### Algebra 2 A

A candy store makes a 9-pound mixture of gummy candy, jelly beans, and hard candy. The cost of gummy candy is \$2.00 per pound, jelly beans cost \$3.00 per pound, and hard candy costs \$3.00 per pound. The mixture calls for two times