Question

Patricia and her brother Ian help themselves to a pitcher of lemonade on the kitchen counter. Patricia takes a glass and fills it with p ounces of lemonade. Ian takes a bigger glass and pours himself 20% more lemonade than Patricia poured in her glass. Write an expression to represent the quantity of lemonade(in ounces) in Ian’s glass in terms of the quantity in Patricias glass (p).

Part A- Write an expressionism terms of p that shows how many more ounces Ian poured in his glass than Patricia poured in hers.

Part B-Write an expression in terms of p to represent the amount of lemonade (in ounces) Ian poured in his glass. Include two terms in your expression.

Part C- combine the like terms in the expression from part B to create an equivalent expression.

Part D- using the simplified expression you wrote in part C, and domain what it means to have 30% more of a given quantity.

Part E- suppose that Patricia drinks one-fourth of the lemonade in her glass. Write an expression in terms of p that represents the number of ounces Patricia drank.

Part F- in part E, Patricia drank one-fourth of the lemonade in her glass. Write and expression in terms of p that represents the number of ounces Patricia has left in her glass. Include two terms in your expression.

Part G- combine the like terms in the expression from part F to create an equivalent expression.

Part H- using the simplified expression you wrote in part G, explain what it means to have 1/4 less of given quantity.

Please help me I’m struggling on this!

Answer 1

Answer:

Part A: 0.20p or 0.2p (doesn't matter which one you use)

Part B: p + 0.2p

Part C: p + 0.2p = 1p + 0.2p =

   1.2p

Part D: increasing a quantity by 20% is the same as multiplying the quantity by 1.2

Part E: 1/4p ounces

Part F: p - 1/4p

Part G: = 3/4p

Part H: decreasing a quantity by 1/4 is the same as multiplying the quantity by 3/4

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