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2. choose tools use a model to answer the question. use a proportion to…

Question

  1. choose tools use a model to answer the question. use a proportion to check your answer. 10 is what percent of 40? 10 is □ percent of 40. 3. choose tools use a model to answer the question. use a proportion to check your answer. 15 is 30% of what number? 15 is 30% of □.

Explanation:

Step1: Set up percent proportion (Q2)

Let $p$ = percent. $\frac{10}{40} = \frac{p}{100}$

Step2: Solve for $p$ (Q2)

Cross multiply: $10 \times 100 = 40p$ → $1000 = 40p$ → $p = \frac{1000}{40} = 25$

Step3: Set up proportion (Q3)

Let $n$ = unknown number. $\frac{15}{n} = \frac{30}{100}$

Step4: Solve for $n$ (Q3)

Cross multiply: $30n = 15 \times 100$ → $30n = 1500$ → $n = \frac{1500}{30} = 50$

Answer:

  1. 25
  2. 50