CPM Homework Help : ACC6 Problem 3-32

At Cassie’s Cashew Shoppe, a sign says, “Today only: $20\%$ off anything.” Maribel realizes that she has a coupon for $\frac { 1 } { 5 }$ off the price of anything in the shop. Which discount should she use, the $20\%$ -off deal or the $\frac { 1 } { 5 }$ -off coupon? Does it matter? Explain.

Hint 1:

$20\%$ is the same as $\frac{20}{100}$ . Can you use a percent ruler or number line to represent this?

Hint 2:

Using the same ruler or number line to represent $\frac{1}{5}$ and $20\%$ might help you compare the portions.
Remember that one whole, or $100\%$ , is the same as $\frac{5}{5}$ .

Hint 3:

Your number line might resemble the one below. Can you place $20\%$ and $\frac{1}{5}$ ?
A percent ruler is scaled by 20% and labeled 0%, 20%, 40%, 60%, 80%, and 100%. Above the 0% is 0. Above the 100% is 5.

More Help:

When you plot the portions, what do you find? Remember to explain your answer!