A bag contains yellow marbles and blue marbles, 46 in total. The number of yellow marbles is 1 more than 4 times the number of blue marbles. How many yellow marbles are there? (show work please)

Explain the difference between “4 times the sum of xand y” and “the sum of 4 times xand y.”

How many teaspoons are in 1 cup?

Your roommate, Sarah, offered to buy groceries for you and your other roommate. The total bill was $82. She forgot to save the individual receipts but remembered that your groceries were $0.05 cheaper than half of her groceries, and that your other roommate's groceries were $2.10 more than your groceries. How much was each of your share of the groceries?

Galen sold 810 tickets for his church’s carnival for a total revenue of $2,820. Children’s tickets cost $3 each and adult tickets cost $5 each. How many children’s tickets and how many adult tickets did he sell?

A whale-watching ship had 40 paying passengers on board. The total collected from tickets was $1,196. Full-fare passengers paid $32 each and reduced-fare passengers paid $26 each. How many full-fare passengers and how many reduced-fare passengers were on the ship?

Simplify: (a) 553 (b) 4949 .

In a physicians practice the ratio of patients on Medicare insurance to patients insured by other means is 5 to 8. If there is a total of 3120 patients in the physicians practice, find the number of patients on Medicare insurance.