91Ó°ÊÓ

Set up a linear system and solve. The campus bookstore sells graphing calculators for $$\$ 110$$ and scientific calculators for $$\$ 16 .$$ On the first day of classes 50 calculators were sold for a total of $$\$ 1,646 .$$ How many of each were sold?

Set up a linear system and solve. The sum of two integers is 32. The larger is 4 less than twice the smaller. Find the integers.

Set up a linear system and solve. A jar consisting of only nickels and quarters contains 70 coins. If the total value is $$\$ 9.10$$, how many of each coin are in the jar?

Set up a linear system and solve. The sum of 2 times a larger integer and 3 times a smaller integer is 54. When twice the smaller integer is subtracted from the larger, the result is ?1. Find the integers.

Set up a linear system and solve. Jill has $$\$9.20$$ worth of dimes and quarters. If there are 68 coins in total, how many of each does she have?

Set up a linear system and solve. The length of a rectangle is 2 centimeters less than three times its width and the perimeter measures 44 centimeters. Find the dimensions of the rectangle.

Set up a linear system and solve. A \(17 \%\) acid solution is to be mixed with a \(9 \%\) acid solution to produce 8 gallons of a \(10 \%\) acid solution. How much of each is needed?

Set up a linear system and solve. A nurse wishes to obtain 28 ounces of a \(1.5 \%\) saline solution. How much of a \(1 \%\) saline solution must she mix with a \(4.5 \%\) saline solution to achieve the desired mixture?

Set up a linear system and solve. The width of a rectangle is one-third of its length. If the perimeter measures 5313 centimeters, then find the dimensions of the rectangle.

Set up a linear system and solve. A customer ordered 4 pounds of a mixed peanut product containing \(12 \%\) cashews. The inventory consists of only two mixes containing \(10 \%\) and \(26 \%\) cashews. How much of each type must be mixed to fill the order?