Stacy and Steve each have brownies of equal size,as shown.
Stacy cuts her brownie into halves.Steve cuts his brownie into eighths. Which statement is true?
A.Stacy has more pieces than Steve.
B.Stacy has 4 pieces.
C.Steve has smaller pieces than Stacy.
D.Steve has fewer pieces than Stacy.
Can you explain how you came up with the answer?
To determine the correct answer, let's analyze the situation step-by-step:
1. Stacy cuts her brownie into halves: If Stacy had a whole brownie and she cut it in half, she now has 2 pieces.
2. Steve cuts his brownie into eighths: If Steve had a whole brownie and he cut it into eighths, he now has 8 pieces.
Based on our analysis, we can conclude that Stacy has more pieces than Steve. Therefore, the correct answer is:
A. Stacy has more pieces than Steve.
To determine the answer, we need to compare the number of pieces Stacy and Steve have after cutting their brownies.
Stacy cuts her brownie into halves, which means each cut creates 2 equal-sized pieces. In other words, for every cut Stacy makes, she doubles the number of pieces.
Steve, on the other hand, cuts his brownie into eighths. Each cut creates 8 equal-sized pieces. Therefore, for every cut Steve makes, he increases the number of pieces by 8.
Now, let's consider the options:
A. Stacy has more pieces than Steve.
Since Stacy doubles the number of pieces with each cut, it is likely that she will have more pieces than Steve. However, without more information about the number of cuts, we cannot be certain. This option is not necessarily true.
B. Stacy has 4 pieces.
Since Stacy cuts her brownie into halves, we can determine the number of pieces by counting the number of cuts she makes. If Stacy only makes one cut, she will have 2 pieces. If she makes two cuts, she will have 4 pieces. So, this statement is potentially true.
C. Steve has smaller pieces than Stacy.
The size of the pieces is not given in the information provided. Therefore, we cannot determine if Steve's pieces are smaller than Stacy's based solely on how they cut their brownies. This option is not necessarily true.
D. Steve has fewer pieces than Stacy.
Since Steve increases the number of pieces by 8 with each cut, it is likely that he will have fewer pieces than Stacy, who doubles the number of pieces with each cut. However, without more information about the number of cuts, we cannot be certain. This option is not necessarily true.
Based on the information provided, it is only possible to determine that Stacy has 4 pieces. The correct answer, therefore, is B. Stacy has 4 pieces.