Eureka Math Grade 7 Module 1 Topic A Quiz

You are throwing a party and you need 3 liters of Dr. Pepper for every 8 guests. How much Dr. Pepper do you need if you invite 24 guests?

• 11 liters

• 5 liters

• 9 liters

• 16 liters

Answer explanation

You multiply 8 guests by 3 to get 24 guests, so you would multiply 3 liters by 3 to get 9 liters. (This finds the equivalent ratio. 3 is also the unit rate--3 guests per liter of soda).

Spongebob's favorite shade of purple paint is made with 5 ounces of blue paint for every 2 ounces of red paint.

Which of the following paint mixtures will create the same shade of purple?

• 2 ounces of blue mixed with 5 ounces of red

• 10 ounces of blue mixed with 4 ounces of red

• 6 ounces of blue mixed with 15 ounces of red

• 10 ounces of blue mixed with 25 ounces of red.

Answer explanation

This is the only ratio that is equivalent to

$\frac{5}{2}$ . The rest can't be equivalent because they are all less than 1 whole, so they wouldn't be reasonable choices.

Select two ratios that are equivalent to

 $\frac{8}{11}$  

•  $\frac{24}{33}$  

•  $\frac{19}{22}$  

•  $\frac{11}{14}$  

•  $\frac{32}{44}$  

Answer explanation

The first option is correct because both numerator and denominator of the original ratio are multiplied by 3 to get  $\frac{24}{33}$  

The second option is incorrect because you are simply ADDING 11 to both the numerator and denominator. You don't ADD to find equivalent ratios. 

The third option is incorrect because the difference between 11 and 8 (11-8) is 3, and that was ADDED to both the numerator and denominator. 

The fourth option is correct because both numerator and denominator of the original ratio are multiplied by 4 to get  $\frac{32}{44}$  

Sandy Cheeks is making lemonade. She uses 20 mL of water for every 3 ounces of lemon juice. Squidward uses 45 mL of water for every 6 ounces of lemon juice. Whose lemonade is more "lemony"?

• Sandy Cheek's lemonade

• Squidward's lemonade

• The two lemonades are equally "lemony".

Answer explanation

Squidward's lemonade is more lemony because when you compare the ratio of Sandy Cheek's lemonade mixture to Squidward's lemonade mixture, you need to make one of the measurements the same in order to truly compare:

Sandy Cheek's: $\frac{20\ mL}{3\ oz}$ x $\frac{2}{2}$ = $\frac{40\ ml}{6\ oz}$

This new ratio, when you compare to Squidward's mixture, is less:
$\frac{40\ mL}{6\ oz}<\frac{45\ mL}{6\ oz}$ So, Squidward's lemonade is more lemony.