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Fifteen percent of the pigment in paint color A is black. Sixty percent of the pigment in paint color B is black. An unknown amount of paint color B is mixed with 40 mL of paint color A, resulting in a paint that contains 25% black pigment. Which equation can be used to solve for x , the total amount of paint in the mixture of the two colors?

A
0 point 1 5 repeating 40 plus 0 point 6 x is equal to 0 point 2 5 times open paren 40 minus x close paren
B
0 point 1 5 repeating 40 plus 0 point 6 times open paren x plus 40 close paren is equal to 0 point 2 5 times x
C
0 point 1 5 repeating 40 plus 0 point 6 times open paren x minus 40 close paren is equal to 0 point 2 5 times x
D
0 point 1 5 repeating 40 plus 0 point 6 x is equal to 0 point 2 5 times open paren 40 plus x close paren
5

Alex has 84 quarters and nickels worth a total of $⁢17.80. Which equation can be used to find q , the number of quarters Alex has?

A
0 point 2 5 q plus 0 point 0 5 times open paren q minus 84 close paren is equal to 17 point 8 0
B
0 point 0 5 times open paren 84 minus q close paren plus 0 point 2 5 q is equal to 17 point 8 0
C
0 point 2 5 times open paren q minus 84 close paren plus 0 point 0 5 q is equal to 17 point 8 0
D
0 point 0 5 q plus 0 point 2 5 times open paren 84 minus q close paren is equal to 17 point 8 0
7

Brass is made from a mixture of copper and other elements. A mixture that is 80% copper is combined with a mixture that is 60% copper, resulting in 100 pounds of brass that is 65% copper. Which equation can be used to find x , the amount of 60 percent mixture used to create the 65 percent mixture?

A
0 point 6 times open paren 100 minus x close paren plus 0 point 8 x is equal to 100 times 0 point 6 5
B
0 point 6 times x plus 0 point 8 times open paren 100 plus x close paren is equal to 0 point 6 5
C
0 point 8 repeating 100 plus 0 point 6 x is equal to 0 point 6 5 times open paren 100 minus x close paren
D
0 point 8 times open paren 100 minus x close paren plus 0 point 6 x is equal to 100 times 0 point 6 5
10

Giuliana has 22 quarters and dollar coins worth a total of $⁢10.75. Which equation can be used to find d , the number of dollar coins Giuliana has?

A
d plus 0 point 2 5 times open paren d minus 22 close paren is equal to 10 point 7 5
B
0 point 2 5 times open paren 22 minus d close paren plus d is equal to 10 point 7 5
C
d minus 22 plus 0 point 2 5 d is equal to 10 point 7 5
D
0 point 2 5 d plus 22 minus d is equal to 10 point 7 5

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