Olivine purchased 50 chocolate bars for fundraising. Her total cost was $150. If the bars with fruit and nuts cost $3.50 each, and the plain bars cost $2.25 each, how many of each kind of candy bar did she purchase? Write an equation for the total cost of the candy bars and one for the total amount of chocolate bars. Solve the system of equations. State your answer with a complete sentence.

Olivine purchased 50 chocolate bars for fundraising. Her total cost was $150. If the bars with fruit and nuts cost $3.50 each, and the plain bars cost $2.25 each, how many of each kind of candy bar did she purchase? Write an equation for the total cost of the candy bars and one for the total amount of chocolate bars. Solve the system of equations. State your answer with a complete sentence.

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter5: Systems Of Linear Equations

Section5.5: Solve Mixture Applications With Systems Of Equations

Problem 5.99TI: Translate to a system of equations and solve: Laura owes $18,000 on her student loans. The interest...

See similar textbooks

Similar questions

Translate to a system of equations and solve: A science center sold 1,363 tickets on a busy weekend. The receipts totaled $12,146. How many $12 adult tickets and how many $7 child tickets were sold?
Translate to a system of equations and solve: Jill’s Sandwich Shoppe owes $65,200 on two business loans, one at 4.5% interest and the other at 7.2% interest. The total amount of interest owed last year was $3,582. What was the principal for each loan?
Translate to a system of equations and then solve: Ali is 12 years older than his youngest sister, Jameela. The sum of their ages is 40. Find their ages.
Translate to a system of equations and solve: Laura owes $18,000 on her student loans. The interest rate on the bank loan is 2.5% and the interest rate on the federal loan is 6.9 %. The total amount of interest she paid last year was $1,066. What was the principal for each loan?
Translate to a system of equations and solve: The box office at a movie theater sold 147 tickets for the evening show, and receipts totaled $1,302. How many $11 adult and how many $8 child tickets were sold?
Translate to a system of equations and then solve: Jake’s dad is 6 more than 3 times Jake’s age. The sum of their ages is 42. Find their ages.
Translate to a system of equations and then solve: Charlie left his mother’s house traveling at an average speed of 36 miles per hour. His sister Sally left 15 minutes ( 14 hour) later traveling the same route at an average speed of 42 miles per hour. How long before Sally catches up to Charlie?
Translate to a system of equations and then solve: Mark went to the gym and did 40 minutes of Bikram hot yoga and 10 minutes of jumping jacks. He burned 510 calories. The next time he went to the gym, he did 30 minutes of Bikram hot yoga and 20 minutes of jumping jacks burning 470 calories. How many calories were burned for each minute of yoga? How many calories were burned for each minute of jumping jacks?
Solve the system of equations by substitution and explain all your steps in words: {3x+y=12x=y8 .
Translate to a system of equations and then solve: Erin spent 30 minutes on the rowing machine and 20 minutes lifting weights at the gym and burned 430 calories. During her next visit to the gym she spent 50 minutes on the rowing machine and 10 minutes lifting weights and burned 600 calories. How many calories did she burn for each minutes on the rowing machine? How many calories did she burn for each minute of weight lifting?
Translate to a system of equations and then solve: A small jet can fly 1,325 miles in 5 hours with a tailwind but only 1,035 miles in 5 hours into a headwind. Find the speed of the jet in still air and the speed of the wind.