Question

A store sells two shades of purple paint. The tables show the number of gallons of blue paint and the number of gallons of red paint used to make each shade of purple paint.

Shade A
Number of Gallons of Blue Paint
8
12
16
24

Number of Gallons of Red Paint for shade A
12
18
24
36

Shade B
Number of Gallons of Blue Paint
5
7
9
12


Number of Gallons of Red Paint
10
14
18
24

Based on the tables, which statements are true? Choose all that apply.

A. The ratio of the number of gallons of red paint to the number of gallons of blue paint in
shade B is 2:1.

B. Shade B should be redder than shade A because shade B has 2 gallons of red paint for every 1 gallon of blue paint. Shade A has 13 gallons of red paint for every 1 gallon of blue paint.

C. Shade A should be bluer than shade B because shade A has 1 gallon of blue paint for every 2 gallons of red paint. Shade B has 1 gallon of blue paint for every 1/2 gallons of red paint.

D. Shade A should be bluer than shade B because shade A has gallons of blue paint for every 1 gallon of red paint. Shade B has gallon of blue paint for every 1 gallon of red paint.

E. If the store owner adds 1 gallon of blue paint to 20 gallons of shade A, she creates 21 gallons
of shade B.

Answer 1

A. False

B. False

C. False

D. False

E. False

Step-by-step explanation:

A. The ratio of the number of gallons of red paint to the number of gallons of blue paint in shade B is 2:1, but this statement only holds true for the first set of values provided.

B. The statement is not true since the table does not provide information about the proportion of blue to red paint in shade A or B.

C. The statement is not true since the table does not provide information about the proportion of blue to red paint in shade A or B.

D. The statement is not true since the table does not provide information about the proportion of blue to red paint in shade A or B.

E. The statement is not true since there's no information about how the shade A is made.

Step-by-step explanation: