Mr. Christian is giving away special candies for Halloween. He has decided to spend $75 on Halloween candies. Each bag of candied raisins costs $2.25 and each bags of Snickers costs $3.50.
1. Write the equation that represents this situation. Be sure to include what your variables stand for.
2. If Mr. Christian decides to buy 10 bags of candied raisins, how many bags of Snickers did he buy?

1. For the candied raisins, r can represent the candied raisins

r = $2.25

t can equal total

t = total

And for the snickers, s can represent them

s = $3.50

Our equation would be: r + s = t

2. $52.50

10 bags of candied raisins would cost $22.50 so then we would subtract $22.50 from $75.00 because Mr. Christian wants to spend his full amount. We would get $52.50 from subtracting which is the amount he spent on the Snickers!

I hope that this can help you

1: 2.25r + 3.50s = 75 ( r = raisins and s = snickers )

2: 15

Step-by-step explanation:

If you are creating an equation, you need to know which parts of the question should be included. The parts included in this equation would be $75 (total amount of money spent on candy), $2.25 (cost of 1 bag of candied raisins ), and $3.50 (cost of 1 bag of snickers).In order to make the equation, you would need to multiply both 2.25 and 3.50 by the amount of bags bought, however we do not know that yet, so we use variables. I chose to use r to represent the bags of candied raisins bought, and s to represent the bags of snickers bought. So that would leave you with 2.25r + 3.50s. Now since 75 is the total amount of money spent, you would set 2.25r + 3.50s equal to 75.

The answer to number 2 is 15. If you were to substitute r for 15, the new equation would be 2.25(10) + 3.50s = 75. When you multiply 2.25(10), you get 22.50. you would then subtract that from 75, giving you 50.50. The equation is now 3.50s = 50.50. The next step is to divide 3.50 on both sides, which would result in just the variable on the left side, and 15 on the right side of the equals sign ( s = 15 )

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: