3

Part of 2014-2015 SDML (Middle School)

Problems(2)

Source: 2014-2015 SDML Middle School 1a Problem 3

100

3\%

of the marbles are purple and the rest are green. How many green marbles must be removed from the box so that

95\%

of the remaining marbles are green?

\text{(A) }2\qquad\text{(B) }15\qquad\text{(C) }37\qquad\text{(D) }40\qquad\text{(E) }57

Layna's rectangular green wall

Source: 2014-2015 SDML Middle School 1b Problem 3

Layna wants to paint a rectangular wall green, but she only has blue and yellow paint. She finds that a

2:1

mix of blue paint to yellow paint produces the color green she wants, and she knows that one gallon of paint will cover

80

square feet of wall. If the wall is

8

21

feet long, how many gallons of blue paint does Layna need? Express your answer as a fraction in simplest form.

2014-15 SDML Round 1SDML Middle School