20. Mr. Sprengel has a total amount of 91 pens and pencils. The ratio of pens to pencils is 6:7. How many pencils does he have?

Mr. Sprengel has 49 pencils.

Step-by-step explanation:

We are given that Mr. Sprengel has 91 pens and pencils.

We are also given that the ratio of pens to pencils is 6:7.

We can create an equation to solve for how many pencils Mr. Sprengel has.In this case, our unknown variable is how many pencils Mr. Sprengel has.

Basically, the problem is telling us that for every 6 pens, there are 7 pencils.

Therefore, we can set up an equation and set our unknown (the amount of pencils) to be equal to x.

Now, we found our x. However, we need to plug this into a new equation and find how many pens and pencils Mr. Sprengel has.

Our new equations are:

In this case:

y will equal the amount of pens.z will equal the amount of pencils.

Therefore, let's solve these:

Now, finally, we need to insert these values into our newfound equation:

We get a true statement, so we have determined that Mr. Sprengel has:

42 pens49 pencils

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