John needs 23 boards to build rafters for his house. He can use 16-foot or 20-foot length boards. He needs seven fewer 16-foot boards than 20-foot boards. Write and solve a system of equations to determine how many of each board John needs.

Sarah took the advertising department from her company on a round trip to meet with a potential client. including sarah a total of 11 people took the trip. she was able to purchase coach tickets for $280 and first class tickets for $1280. she used her total budget for airfare for the trip, which was $6080. how many first class tickets did she buy? how many coach tickets did she buy?

The sum of the squares of two numbers is 8 . the product of the two numbers is 4. find the numbers.

Nicole is making carrot bread she needs 5 cups of carrots for 2 cups of sugar. what is the ratio of cups of sugar to cups of carrots that nicole will need? write the ration in three different ways