Problema Solution

Digital prints. Photo world charge $0.10 each for 4 by 6 prints and $0.60 each for 5 by 7 prints. Lucy orders 36 prints and pays $6.60 for her order. How many prints of each size did he order?

Answer provided by our tutors

let


x = the number of 4 by 6 prints


y = the number of 5 by 7 prints


Lucy orders 36 prints:


x + y = 36


and pays $6.60 for her order:


0.10x + 0.60y = 6.60 multiply both sides by 10


x + 6y = 66


by solving the system of equations:


x + y = 36


x + 6y = 66


we find:


x = 30 prints


y = 6 prints


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Lucy ordered 30 prints 4 by 7 and 6 prints 5 by 7.