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Question
mr. shen likes for his homework assignments to have 2 addition problems for every 3 subtraction problems. which of the following homework assignments could mr. shen create? choose 3 answers: a 3 addition problems and 4 subtraction problems b 6 addition problems and 9 subtraction problems c 16 addition problems and 24 subtraction problems d 8 addition problems and 12 subtraction problems
Step1: Determine the ratio
The ratio of addition problems to subtraction problems Mr. Shen likes is 2:3. We need to check the ratios of the given options.
Step2: Check option A
For 3 addition and 4 subtraction problems, the ratio is 3:4, which is not equal to 2:3.
Step3: Check option B
For 6 addition and 9 subtraction problems, the ratio is $\frac{6}{9}=\frac{2}{3}$, which is the required ratio.
Step4: Check option C
For 16 addition and 24 subtraction problems, the ratio is $\frac{16}{24}=\frac{2}{3}$, which is the required ratio.
Step5: Check option D
For 8 addition and 12 subtraction problems, the ratio is $\frac{8}{12}=\frac{2}{3}$, which is the required ratio.
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B. 6 addition problems and 9 subtraction problems
C. 16 addition problems and 24 subtraction problems
D. 8 addition problems and 12 subtraction problems