Marge bought several types of candy for Halloween: Milky Ways, Tootsie Rolls, Reese's Cups, and Hershey Bars. The Milky Ways and Tootsie Rolls together were six more than the Reese's Cups. There were four fewer Reese's Cups than Hershey Bars. There were 12 Milky Ways and 28 Hershey Bars. How many Tootsie Rolls did Marge buy?
A) List five quantities involved in this problem.
B) Sketch a diagram to show the relevant sums and differences in this situation.
C) Solve the problem.

Question

Quizplus · Accepted Answer

The Answer is A) The five quantities are usually easy: for example, the number for each type of candy, and some of the explicit comparisons mentioned.
B) The diagram below shows the deduced numbers of bars in parentheses. (HB stands for Hershey Bars and MW for Milky Ways, two given quantities, whereas the number of Tootsie Rolls and Reese's Cups is deduced.) $A) The five quantities are usually easy: for example, the number for each type of candy, and some of the explicit comparisons mentioned. B) The diagram below shows the deduced numbers of bars in parentheses. (HB stands for Hershey Bars and MW for Milky Ways, two given quantities, whereas the number of Tootsie Rolls and Reese's Cups is deduced.) C) This gives 18 \mathrm { TRs } (start with the \mathrm { HBs } , then determine the \mathrm { RC } , then the \mathrm { TR } + \mathrm { MW } total, and finally the TRs).$
C) This gives

18 \mathrm { TRs }

(start with the

\mathrm { HBs }

, then determine the

\mathrm { RC }

, then the

\mathrm { TR } + \mathrm { MW }

total, and finally the TRs).

Marge Bought Several Types of Candy for Halloween: Milky Ways