Question

Each time you get dimes and quarters for change, you throw them into a jar. you are hoping to save $50. write a model that shows the different amount of dimes and quarters that you could accumulate to reach your goal.

Answer 1

To model the different amount of dimes and quarters that you could accumulate to reach your goal of saving $50, you can use a combination of algebra and basic mathematical reasoning. The equation 10x + 25y = 500 can be used to find the different combinations of dimes and quarters that satisfy the goal.

Step-by-step explanation:

To model the different amount of dimes and quarters that you could accumulate to reach your goal of saving $50, you can use a combination of algebra and basic mathematical reasoning.

Let's say you have a total of x dimes and y quarters. The value of the dimes can be represented as 10x cents, and the value of the quarters can be represented as 25y cents. Since you are hoping to save $50, the equation for the total value can be written as:

10x + 25y = 500

To find the different combinations of dimes and quarters that satisfy this equation, you can use trial and error or solve it systematically. For example, you could start by setting a value for x and solving for y. Repeat this process with different values of x to find all the possible combinations.