Question

To develop skill in problem solving, analyze the quantitative structure of situations or try other problem-solving heuristics. Feel free to draw diagrams to represent the relationships between relevant quantities.

3.

1. Connie bought several types of candy for Halloween: Milky Ways, Tootsie Rolls, Reese’s Cups, and Hershey Bars. Milky Ways and Tootsie Rolls together were 15 more than the number of Reese’s Cups. There were 4 fewer Reese’s Cups than Hershey Bars. There were 12 Milky Ways and 14 Hershey Bars. How many Tootsie Rolls did Connie buy?

Answer 1

Given that Connie bought several types of candy for Halloween: Milky Ways, Tootsie Rolls, Reese’s Cups, and Hershey Bars.

• Number of Hershey Bars is 14 and Number of Milky Ways is 12.
• There were 4 fewer Reese’s Cups than Hershey Bars.

Number of Hershey Bars is 14 and there were 4 fewer Reese’s Cups than Hershey Bars. Thus,

Number of Reese’s Cups = Number of Hershey Bars

   =

Number of Reese’s Cups =

Thus Number of Reese’s Cups is 10.

• Milky Ways and Tootsie Rolls together were 15 more than the number of Reese’s Cups.

That is,

Number of Milky Ways + Number of Tootsie Rolls = + Number of Reese’s Cups.

   + Number of Tootsie Rolls =

Number of Tootsie Rolls

Number of Tootsie Rolls

Thus Connie bought 13 Tootsie Rolls.