For the following problems,1. choose a variable/symbol/letter (different for each problem) and write an equationthat represents the scenario;2. use algebra to solve the equation for your variable, showing all your work;3. have each answer checked for correctness and completeness by another member ofthe class.In the last step, have them sign (digitally, if necessary) each of the problems that theyhave checked. If they find an error in your work, please submit the original work and thecorrected work.1. A bicycle and a bicycle helmet cost 240 dollars. How much did each cost, if the bicyclecost 5 times as much as the helmet?2. Jamal and Moshe began a business with a capital of 7500 dollars. If Jamal providedhalf as much capital as Moshe, how much did each provide?3. A book is currently on sale, and the original price was 25% higher than the price now.If the original price was 6 dollars more than the sale price, what is the sale price?4. An electrician cuts a 30 ft piece of wire into two pieces. One piece is 2 ft longer thanthe other. How long are the pieces?5. A ten foot long ribbon is cut into three pieces. One piece is 4 feet longer than another,and 4 times longer than the third piece. How long are the pieces?

MAT 1100 – Mathematics FundamentalsMath as Languagedue Friday 4/12 at the beginning of classFor the following problems,1. choose a variable/symbol/letter (different for each problem) and write an equationthat represents the scenario;2. use algebra to solve the equation for your variable, showing all your work;3. have each answer checked for correctness and completeness by another member ofthe class.In the last step, have them sign (digitally, if necessary) each of the problems that theyhave checked. If they find an error in your work, please submit the original work and thecorrected work.1. A bicycle and a bicycle helmet cost 240 dollars. How much did each cost, if the bicyclecost 5 times as much as the helmet?2. Jamal and Moshe began a business with a capital of 7500 dollars. If Jamal providedhalf as much capital as Moshe, how much did each provide?3. A book is currently on sale, and the original price was 25% higher than the price now.If the original price was 6 dollars more than the sale price, what is the sale price?4. An electrician cuts a 30 ft piece of wire into two pieces. One piece is 2 ft longer thanthe other. How long are the pieces?5. A ten foot long ribbon is cut into three pieces. One piece is 4 feet longer than another,and 4 times longer than the third piece. How long are the pieces?

Question 3.Example 16Meghan buys 1212 pens for a total cost of $15.60$15.60.a.Define a pronumeral for the cost of one pen.+ Workspace+ Check answerb.Write an equation to describe the problem.

Find out how many cars the baseball team needs to wash before it starts making a profit. The team spent $75setting up the car wash, and they are charging $5 per car for a wash.A. Write an equation to represent the amount ofmoney collected in dollars, y, in terms of the numberof cars washed, x. Ignore the setup cost. 𝑦 = 𝑥B. What do you need to do to the equation in part Ato account for the setup cost?To account for the setup cost, you need to_______add _______subtract 75 from the right sideof the equation obtained in part A.C. Write an equation representing the profit madeon the car wash in dollars, y, in terms of the numberof cars washed, x, after expenses. 𝑦 = 𝑥D. What is the value of the profit when the baseballteam washes 0 cars? What point represents thisvalue? What does the y-value of this point mean interms of the problem?E. How many cars does the baseball team have towash to break even? What point represents thisvalue? What does the x-value of this point mean interms of the problem?

Write an equation to represent the situation. Write the equation in the order the information is presented.You are shopping for school supplies for the new school year. You have everything you need except binders and dividers. Each binder, b𝑏, costs $8$8 and each pack of dividers, d𝑑, costs $4$4. In total you spent $42$42 on your supplies. Write an equation in two variables that represents the relationship between the cost of binders and the cost of dividers. b+𝑏+ d=𝑑=

Write down the techniques involved in solving a problem?