Without actually solving the problem, choose the correct solution by deciding which choice satisfies the given conditions.

The length of a rectangle is2 feet longer than the width. The perimeter is20 feet. Find the dimensions of the rectangle. Length= ?; width=?

Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold some of their pottery at the original price of$9.50 for eachpiece, but later decreased the price of each piece by$2. If they sold all 90 pieces and took in $703, find how many pieces they sold at the original price and how many pieces they sold at the reduced price.

Use a system of equations describing the situation. Do not solve the system.

Two numbers add up to 14 and have a difference of 4.

GabeAmodeo, a nuclearphysicist, needs 60 liters of a 60% acid solution. He currently has a 40% solution and a 70% solution. How many liters of each does he need to make the needed 60 liters of 60% acidsolution?

Gabe needs ? liters of the 40% solution.

He also needs ? liters of the 70% solution.

Two high speed trains are 360 miles apart and traveling toward each other. They meet in 5 hours. If onetrain's speed is 10 miles per hour faster than theother, find the speed of each train.

The speed of the slower train is ? mph. (Round to two decimal places asneeded.)

The speed of the faster train is ? mph. (Round to two decimal places asneeded.)