Section 0.2

When Adam and his sister Megan arrive at a party, they see that there is 1 adult chaperone for every 4 kids. Right behind them come 30 more boys, and Megan notices that the ratio is now 2 boys to 1 girl. However, behind the 30 boys come 30 more girls, and Adam notices that there are now 4 girls for every 3 boys.

What is the final ratio of adult chaperones to kids?

Three friends went to the gym towork out. None of the friends wouldtell how much he or she couldleg-press, but each hinted at theirfriends’ leg-press amounts.● Chen said that Juanita and Louaveraged 87 pounds.● Juanita said that Chen leg-pressed6 pounds more than Lou.● Lou said that eight times Juanita’samount equals seven times Chen’samount.Find how much each friend couldleg-press.

Select one of the problems below, and use these four steps to find a solution.◦ Step 1 List the unknown quantities, and assign a

variable to each quantity.◦ Step 2 Write one or more equations that relate the

unknown quantities to conditions of the problem.◦ Step 3 Solve the equations to find a value for each

variable.◦ Step 4 Interpret your solution according to the context

of the problem. When you finish, write a paragraph answering

this question: Which of the four problem-solving steps was hardest for you? Why?

On Monday the manager scheduled two clerks and one supervisor for 8-hour shifts.

She was pleased because she met the daily salary budget.

On Tuesday the manager needed two clerks for 8 hours, a third clerk for 4 hours, and one supervisor for 4 hours. She was very pleased to be $10 under budget.

On Wednesday she needed three clerks for 8 hours and one supervisor for 4 hours. This day she was over budget by $20.

All of the clerks make the same hourly wage. What is the daily salary budget?

Sandy uses a ton pickup (a truck that can carry 1000 pounds) to transport ingredients for mortar.

Sand comes in 50-pound bags and cement comes in 40-pound bags. Mortar is made from five bags of sand for every bag of cement.

How many bags of each should Sandy load to make the most mortar possible?

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