Question

Tom's marble jar contains plain and colored marbles. If there are 32 more plain marbles than colored marbles, and there are 180 marbles in the jar, how many plain and colored marbles ?

Answer 1

To find the number of plain and colored marbles in Tom's jar, we can set up an algebraic equation and solve for the unknown variables.

Step-by-step explanation:

To solve this problem, we can use algebraic equations. Let's denote the number of colored marbles as x. Since there are 32 more plain marbles than colored marbles, the number of plain marbles would be x + 32. Together, the total number of marbles is 180. This can be represented by the equation:

x + (x + 32) = 180

Simplifying the equation, we get:

2x + 32 = 180

Subtracting 32 from both sides gives:

2x = 148

Dividing both sides by 2, we find:

x = 74

Therefore, there are 74 colored marbles and 74 + 32 = 106 plain marbles in Tom's jar.