7.2 Rational Number Problem Solving

A pitcher contains $3\frac{1}{2}$ quarts of milk. Gabrielle pours 1.875 quarts into a smaller pitcher. How many quarts of milk are left in the first pitcher?

•  $1\frac{3}{4}$ quarts

•  $1\frac{5}{8}$ quarts

•  $1\frac{1}{4}$ quarts

•  $4\frac{3}{4}$ quarts

Jacob ran $4\frac{3}{5}$ miles on Monday, 4.5 miles on Tuesday, and $3\frac{1}{4}$ miles on Thursday. How many total miles did Jacob run?

•  $11\frac{5}{11}$   miles

•  $12\frac{7}{20}$  miles

•  $12\frac{3}{4}$  miles

• 12 miles

Kaylah has $30 saved. She spends $12 on earrings, then earns $20 for weeding the garden. Later she spends $14 at the movie theater. If she spends $\frac{5}{8}$ of what is left on a gift, how much does she spend?

• $15

• $9

• $32.50

• $21

Which model represents a product equivalent to $\frac{3}{10}$ ?

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Brynlee is selling pies for a band fundraiser. They make $5.50 profit for every pie they sell. How many must they sell in order to make a profit of at least $100?

• 19 pies

• 18 pies

• 550 pies

• 100 pies

Connie's brownie recipe calls for $1\ \frac{5}{8}$ sticks of butter. If she triples the recipe, how many sticks of butter will she need?

• 4 sticks

•  $4\frac{7}{8}$ sticks

•  $3\frac{1}{4}$  sticks

•  $\frac{13}{24}$ sticks

Tristan has $ $-15$ in his savings because he owes money to his sister.  He earned $28 for pet-sitting. On Saturday he spent $4.50 at Taco Bell.  What was the change in his savings account?

• $8.50

• $32.50

• $23.50

• $6.50

A scientist is studying 24 stars in an area of the sky. He studies  $\frac{1}{3}$ of them one week and $\frac{1}{4}$ of the remainder the next week. How many are left to study?

• 10 stars

• 6 stars

• 8 stars

• 12 stars

Shana bought a hamburger for $4.25, two hot dogs for $2.50 each, a large order of fries for $2.95, and one medium soda for $2.15. If Shana paid with a $20.00 bill, how much change did she receive?

• $5.65

• $8.15

• $11.85

• $14.35

The model matches which multiplication problem below?

• $\frac{1}{4}\times\frac{2}{5}$

• $\frac{2}{5}\times\frac{2}{8}$
  

• $\frac{1}{5}\times\frac{2}{4}$
  

• $\frac{8}{20}\times\frac{5}{20}$