Math

Question Find Mason's mother's age given that Mason is 9 years old and his mother's age is 4 times his age.
Mason’s age=9\text{Mason's age} = 9 Mother’s age=4×Mason’s age\text{Mother's age} = 4 \times \text{Mason's age}

Studdy Solution

STEP 1

Assumptions1. Mason's age is9 years. . Mason's mother's age is4 times Mason's age.

STEP 2

We can write an equation to represent the relationship between Mason's age and his mother's age. Let's denote Mason's age as M and his mother's age as MM.
MM=4×MMM =4 \times M

STEP 3

Now, plug in the given value for Mason's age (M) into the equation.
MM=×9MM = \times9

STEP 4

Calculate Mason's mother's age.
MM=4×9=36MM =4 \times9 =36So, Mason's mother is36 years old.

STEP 5

Now, let's draw a bar diagram to represent the ages. We can represent each year with a small box in the bar. Since Mason is9 years old, we will draw a bar with9 boxes for Mason. Since his mother is4 times his age, we will draw a bar with36 boxes for his mother.
Mason □□□□□□□□□Mother □□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□Please note that this is a textual representation of a bar diagram and in an actual solution, it would be a graphical representation.
Mason's mother is36 years old.

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