Question

TASK 7. a. Solve one proportion using properties of equality. Solve the other using cross products. Explain the steps you used in each process. *= 1 - 2 21 b. Create a proportion that models a real-world situation. Be sure to define the variable, relate it to a model, write the equation, and solve the proportion.

Answer 1

a-1. Solving one proportion using properties of equality:

We can use the multiplication property of equality:

`(x)/(21)=(4)/(7)\Rightarrow21\cdot((x)/(21)=(4)/(7))\Rightarrow x=(21\cdot4)/(7)\Rightarrow x=3\cdot4\Rightarrow x=12`

We multiply to both sides of the proportion by 21, and we obtained x = 12.

a-2. In the second proportion, if we using cross products, we have:

And we also have the value x = 12.

b. Imagine that we need to make pizza, and we know that the ratio of flour to water is:

300 gr/100ml water

If we have this ratio, then if we have 1000ml of water, what is the quantity of flour that we need.

x = quantity of flour. Then, we can represent this situation as follows:

Then, we have:

Then, to prepare pizza for 1000ml of water, we will need 3000 grams of flour.