I hope the solution in pic helps you
Note that they together ate all of the pizza.
Therefore the total fractions they ate should add up to 1.
By letting the fraction Jodie ate be x.
x + 2/5 + 1/4 = 1
x = 7/20
The answer is 7/20.
If the perimeter is 98 cm, the sum of the lengths of two adjacent sides is 49 cm.
... (2x -1) + (3x +5) = 49 . . . . use the given information and relation
... 5x +4 = 49 . . . . . . . . . . . simplify
... 5x = 45 . . . . . . . . . . . . . . . subtract 4
... x = 9 . . . . . . . . . . . . . . . . . divide by 5
The left side dimension is then
... 2x -1 = 2·9 -1 = 17 . . . . cm
The top dimension is
... 3x +5 = 3·9 +5 = 32 . . . . cm
The rectangle is 17 cm by 32 cm.
You can use the quadratic equation to solve this once you have this set equal to zero. The answers would be roughly 9.6 and -0.6.
