G8

Copyright © Swun MathCopyright © Swun Math Grade 8 Unit 4 Lesson 11 P TE

Challenge Problems

Directions: Write an equation and solve. Label the answer.

Julianne made 512 grams of trail mix. She used twice as many grams of peanuts as raisins.

She used twelve more grams of dried pumpkin seeds than raisins. How much of each

ingredient did Julianne use?

Solution:

푟푟 = raisins

2 푟푟 = peanuts

푟푟 + 12 = pumpkin seeds

푟푟 + 2푟푟 + 푟푟 + 12 = 512

4 푟푟 + 12 = 512

− 12 − 12

4 푟푟 = 500

4

4 푟푟 =

500

4

푟푟= 125

푟푟 = 125 grams of raisins

2 푟푟 = 250 grams of peanuts

푟푟+ 12 = 137 grams of pumpkin seeds

Extension Activity

* MP1: Make sense of the problem and persevere in solving it.

* MP4: Apply mathematics in everyday life.

Gina has some dimes and some nickels with a total of $4.60. The number of dimes is four

more than three times the number of nickels she has. How many nickels does she have?

Which quantity depends on the other? Remember to distinguish the difference in value

between nickels and dimes when writing your equation. You can only use one variable to

write your equation, but you must use it more than once. Define the expression for nickels

and dimes. Write an equation and solve.