Question

10. Julio's father is 3 times as old as Julio. The sum of their ages is no less than 50. What is the youngest age Julio can be?A. Write an equality that shows the relationship between Julio’s and his father’s ages.B. Solve the equation using a T-chart. Justify each step with a mathematical propertyGiven InequalityC. What does your solution tell you?

Answer 1

• Letter A)

If 'y' is the age of Julio's father and 'x' the age of Julio, the equality will be:

`3x=y`

• Letter B)

To solve the equation we have to consider the second part of the exercise: "The sum of their ages is no less than 50". This means:

`x+y\ge50`

Now we can put the value of y that we have found in the letter A to find the value of 'x':

`x+3x\ge50`
`4x\ge50`
`x\text{ }\ge\text{ 12.5}`

Then the youngest age that Julio can be is 12.5 years! If x is equal to 12.5, Julio's father will have:

`3*12.5\text{ = }37.5\text{ years}`

• Letter C)

The solution tells that if Julio has 12.5 years old, his father will have 37.5 years old!