25You are now on your way to college and need to make somemoney decisions. Your parents are going to help pay for somenecessities but they want to know what you need. You arebudgeting your money for textbooks and trying to decide howmany hardback and paperback textbooks you can afford.Hardback books cost $45 and paperback books cost $20. Youhave $440 dollars to spend on textbooks. You know you need tobuy 12 textbooks for the school year. Your task is to find outhow many hardback and paperback textbooks you can buy.20+a) Write a system of equations to represent the situation,let x = the number of hardback books and y = number ofpaperback booksEquation 1Equation 2
Accepted Solution
A:
Answer:Equation : 1 45 x + 20 y ≤ 440Equation : 2 x + y ≤ 12Step-by-step explanation:Let x = the number of hardback books and y = number of paperback booksCost of 1 hardback book = $45⇒Cost of x hardback book = $45 times x = 45 xCost of 1 paperback book = $20⇒Cost of y paperback book = $20 times y = 20 yTotal allowance for the books = Expenditure on hardback books + Expenditure on paperback books= 45 x + 20 yAlso, the total number of books bought = x+ ySo, according to the question: 45 x + 20 y ≤ 440and x + y ≤ 12Above system of equation is the desired system to represent the given situation.