Explanation Given Information: Peanuts and mixed nuts must be mixed to get 13 lb of mixed nuts for a wedding reception for which $ 71 has been allocated by the wedding couple for nuts with peanut costing $ 4.50 per pound and fancy nuts costing $ 7.00 per pound. Formula used: The applied problems using system of equations can be solved through the following steps: Step 1: Understand the problem. Step 2: Define variables and frame equation. Step 3: Solve the equations. Step 4: Verify the solution. Step 5: State the solution. Calculation: Consider provided information about the mixed nuts for a wedding reception. The number of pounds of peanuts and the number of pounds of fancy nuts to be mixed is required. Define the variables to the two unknown variables. x = number of pounds of peanuts y = number of pounds of fancy nuts Frame the system of equations: The total quantity of mixed nuts is 13 lb . So, the equation is: x + y = 13 …… (1) The cost of peanuts is $ 4.50 per pound and the cost of fancy nuts is $ 7.00 per pound and the total amount allotted is $ 71 . So, another equation is: 4.50 x + 7 y = 71 …… (2) The system of two equations is: x + y = 13 And, 4.50 x + 7 y = 71 Solve the system of equations. In the provided system of equations, use the equation ( 1 ) and solve for y . So this would make it easier to substitute this into another equation and solve by substitution method. x + y = 13 Subtract x from both the sides of the equation. x + y − x = 13 − x y = 13 − x Now, substitute y = 13 − x in equation ( 2 ) . So, the equation becomes, 4.50 x + 7 ( 13 − x ) = 71 Use the distributive property a ( b + c ) = a b + a c to clear the parenthesis

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

See similar textbooks

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Videos

Question

Chapter 13, Problem 27RE

To determine

To calculate: The number of pounds of peanuts and number of pounds of fancy nuts that must be mixed to get 13 lb of mixed nuts for a wedding reception for which $71 has been allocated by the wedding couple for nuts with peanut costing $4.50 per pound and fancy nuts costing $7.00 per pound.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13, Problem 26RE

Chapter 13, Problem 28RE

Students have asked these similar questions

MindTap - Cemy X Answered: tat x A 26308049 × 10 EKU--SP 25:11 × E DNA Sequence x H. pylori index.html?elSBN=9780357038406&id=339416021&snapshotid=877369& NDTAP and the Derivative 41. 42. Answer 12 Ay 5 + -10-5 5 10 -5- f(x) = x +5 if x ≤ 0 -x²+5 if x > 0 to -5 5. 5 f(x) = |x − 1| MacBook Pro AA

Mind Tap - Cenxxx Answered: tat X A 26308049 × 10 EKU-- SP 25: X E DNA Sequence x H. pylor vo/index.html?elSBN=9780357038406&id=339416021&snapshotld=877369& MINDTAP its, and the Derivative 44. Answer 5 X -10-5 5 10 -5. f(x) = 2 + x +5 if x 0 3 4 f(x) = x² - 1 x+1 if x = -1 MacBook Pro G Search or type URL if x = -1 + AA a

Round as specified A) 257 down to the nearest 10’s place B) 650 to the nearest even hundreds, place C) 593 to the nearest 10’s place D) 4157 to the nearest hundreds, place E) 7126 to the nearest thousand place

Chapter 13 Solutions

Developmental Mathematics (9th Edition)

Ch. 13.1 - Prob. 1SR Ch. 13.1 - Prob. 2SR Ch. 13.1 - Prob. 1DE Ch. 13.1 - Prob. 2DE Ch. 13.1 - Prob. 3DE Ch. 13.1 - Prob. 4DE Ch. 13.1 - Prob. 5DE Ch. 13.1 - Prob. 6DE Ch. 13.1 - Prob. 7DE Ch. 13.1 - Prob. 8DE

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The number of pounds of peanuts and number of pounds of fancy nuts that must be mixed to get 13 lb of mixed nuts for a wedding reception for which $ 71 has been allocated by the wedding couple for nuts with peanut costing $ 4.50 per pound and fancy nuts costing $ 7.00 per pound.

Solution Summary: The author calculates the number of pounds of peanuts and fancy nuts that must be mixed for a wedding reception for which 71 has been allocated.

Concept explainers

Videos

To calculate: The number of pounds of peanuts and number of pounds of fancy nuts that must be mixed to get 13 lb of mixed nuts for a wedding reception for which $71 has been allocated by the wedding couple for nuts with peanut costing $4.50 per pound and fancy nuts costing $7.00 per pound.

Want to see the full answer?

Chapter 13 Solutions