I found the answer I just need to find the strategy I would use for it (strategies below the problem)

Question

1. Donna bought a book for $10 and then spent half her remaining money on a train ticket. She then bought lunch for $4 and spent half her remaining money at a bazaar. She left the Bazaar with $8. How much money did she start with? ___$50____________

Strategy used? _______________________________________

Strategies are:

Visualize. Seeing is not only believing—it is also a means for understanding! Using manipulatives, acting it out, drawing a picture, or using dynamic software are ways to help represent, understand, and communicate mathematical concepts.

Look for patterns. Searching for patterns, including regularity and repetition in everyday, spatial, symbolic, or imaginary contexts, is an important entry point into thinking mathematically. Patterns in number and operations play a huge role in helping students learn and master basic skills starting at the earliest levels and continuing into middle and high school.



Predict and check for reasonableness. This is sometimes called “Guess and Check,” but students are predicting more than they are guessing. This is not as easy as it may sound, as it involves making a strategic attempt, reflecting, and adjusting if necessary. The quantitative analysis (the answer is too small or too big) supports student sense making and is a bridge to algebra (Guerrero, 2010).

Formulate conjectures and justify claims. As students interpret a problem, making conjectures and then testing them can help students solve the problem and deepen their understanding of the mathematical relationships. This reasoning is central to doing mathematics (Lannin, Ellis, & Elliott, 2011).

Create a list, table, or chart. Systematically accounting for possible outcomes in a situation can provide insights into its solution. Students may make an organized list, a table or t-chart, or chart information on a graph. The list, table, or chart is used to search for patterns in order to solve the problem.

Simplify or change the problem. Simplifying the quantities in a problem can make a situation easier to understand and analyze. This can lead to insights that can be applied to the original, more complex quantities in a problem. One way to simplify the problem is to test specific examples. The results of testing examples can provide insights into the structure of the task.



Write an equation. Using or inventing symbols, numbers, notations, and equations are compact ways of modeling a situation. Writing an equation can provide insights into the structure of the problem and be used in solving the task.

Answer 1

You solve problems like this by working backwards. You spent half the remaining money at the bazaar and left with $8, so you had $16 when you entered the bazaar. You spent $4 for lunch, so you had $20 before you ate lunch. You spent half your money on the ticket, so you had $40 before. You bought a book for $10, so you had $50 before.