Build and solve multi-step equations. For each problem, write an appropriate algebraic equation. Make sure to define any variables you use. Solve the equation, showing all the steps, and check your answer. 1. Suppose two children and their mother went to an art fair with $20. Admission was $4 for the mother, but the children were admitted free. If each child bought a $2 lemonade, how many $2 bracelets could they buy altogether? Assume there is an 8% sales tax on the lemonade and the bracelets.
Build and solve multi-step equations. For each problem, write an appropriate algebraic equation. Make sure to define any variables you use. Solve the equation, showing all the steps, and check your answer. 1. Suppose two children and their mother went to an art fair with $20. Admission was $4 for the mother, but the children were admitted free. If each child bought a $2 lemonade, how many $2 bracelets could they buy altogether? Assume there is an 8% sales tax on the lemonade and the bracelets.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Build and solve multi-step equations.
For each problem, write an appropriate algebraic equation. Make sure to define any variables you use. Solve the equation, showing all the steps, and check your answer.
1. Suppose two children and their mother went to an art fair with $20. Admission was $4 for the mother, but the children were admitted free. If each child bought a $2 lemonade, how many $2 bracelets could they buy altogether? Assume there is an 8% sales tax on the lemonade and the bracelets.
Expert Solution
Step 1
Admission was $4 for the mother, but the children were admitted free. therefore they have remain 20-4= 16 .
the cost of lemonade is 2 , and there is 8% tax , therefore cost of lemonade become
same way
the cost of bracelets is 2 , and there is 8% tax , therefore cost of bracelets become
consider x is price of lemonade ,and y number of bracelets ,then we create equation
2x+2.16y<=16
If each child bought a $2 lemonade
therefore put x<=2.16
2*2.16+2.16y<=16
4.32+2.16y<=16
2.16y<=16-4.32
2.16y<=11.68
y<=
y<=5.4
therefore $2 bracelets could they buy altogether are 5
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