Problema Solution

melissa bought a new car with 12 ooptional features to the car. each optional feature cost eith $23.99 or $120.84. if she paid $675.28 for all the optional features, how many of earch type did she buy?

Answer provided by our tutors

let


x = the number of optional features that cost $23.99

y = the number of optional features that cost $120.84


Melissa bought a new car with 12 optional features to the car


x + y = 12


she paid $675.28 for all the optional feature


23.99x + 120.84y = 675.28


by solving the system of equations


x + y = 12

23.99x + 120.84y = 675.28


we find


x = 8 features


y = 4 features


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Melissa bough 8 features of $23.99 and 4 features of $120.84.