Math Counts Warm Up #3 and Work Out #3

Front

A new pair of shoes is on sale for $45. If this cost represents a 40% discount, what was the original cost of the shoes?

Back

$75

Front

The sum of two numbers is 7 and their product is 12. What is twice the sum of their reciprocals? Express your answer as a common fraction.

Back

Front

The price of a pizza is directly proportional to its area. If a 12-inch pizza costs $12.00, how much does a 14-inch pizza cost? Express your answer to the nearest dollar.

Back

The cost of a 14-inch pizza is $16.

Front

Given that a, b, and c are positive integers, and abc = 210, what is the least possible sum for a + b + c?

Back

18

Front

The students from Regent Middle School sat in 20 rows in such a way that each row after the first had 3 more students sitting in it than the previous row. If 16 students sat in the first row, how many students sat in the 19th row?

Back

70

Front

What is the height of Bianca's rectangle if her width is 50 inches larger than Bradlee's rectangle (width 160 inches) and her area is 50% larger than Bradlee's area?

Back

80 inches

Front

The odds of winning the game Galaxy Quest are 3:4. What is the probability of losing this game? Express your answer as a decimal to the nearest hundredth.

Back

0.57

Front

If Tiffany earned x dollars per page proofreading in November and y dollars per page in January, what is the ratio of x to y?

Back

Front

Ellie has two dogs, a bulldog and a golden retriever. The bulldog's weight is 60% of the golden retriever's weight. If the golden retriever weighs 28 pounds more than the bulldog, what is the combined weight of Ellie's two dogs?

Back

112 pounds

Front

If the sum of the measures of the interior angles of a polygon is 1620 degrees, how many sides does the polygon have?

Back

11