Let Natalie be x, and Fred, y. So based on 1st condition, we get x + y =43 - Equation 1 â´ x = 43-y - Equation 2 Now based on 2nd condition, we get 44x+y=88 Using x from Equation 2, we get 44(43-y) + y = 88 â´ 44x43 - 44y + y = 88 â´ 1892 -44y + y = 88 â´ -44y + y = 88 - 1892 â´ 43y =1804 â´ y = 1804/43 â´ y = 41.95
Using the value of y in Equation 2 x = 43 - 41.95 â´ x = 1.05
At constant temperature, volume and pressure are inversely related. Increasing the pressure by a factor of 125/50 = 2.5 will cause the volume to be reduced by that factor.
