Billy's Restaurant Ordered 200 Flowers

Discussion Problem Exercises: Applications of 3 Equations with 3 Variables

Unless it is given, interpret the problem into a organisation of 3 equations using 3 variables.
Solve the arrangement and answer the question.

Full general Questions

	Marina had $24,500 to invest. She divided the coin into three unlike accounts. At the stop of the yr, she had fabricated $1,300 in involvement. The annual yield on each of the 3 accounts was 4%, 5.5%, and half-dozen%. If the amount of money in the four% account was four times the amount of money in the 5.5% account, how much had she placed in each account? The currents running through an electrical system are given by the post-obit system of equations. The 3 currents, I1, I2, and I3, are measured in amps. Solve the system to discover the currents in this circuit. I₁ + 2I₂ - I₃ = 0.425 3I_i - I_ii + 2I₃ = ii.225 5I₁ + I₂ + 2I₃ = 3.775 Find the equation of the parabola,y = ax² + bx + c, that passes through the following three points: (-2, 40), (1, 7), (3, 15). Billy's Eating house ordered 200 flowers for Mother'due south 24-hour interval. They ordered carnations at $1.50 each, roses at $5.75 each, and daisies at $2.threescore each. They ordered mostly carnations, and 20 fewer roses than daisies. The total society came to $589.50. How many of each type of bloom was ordered? The Arcadium arcade in Lynchburg, Tennessee uses 3 different colored tokens for their game machines. For $xx yous can purchase whatsoever of the following mixtures of tokens: 14 gold, 20 argent, and 24 bronze; OR, 20 aureate, xv argent, and 19 bronze; OR, 30 aureate, 5 silver, and 13 bronze. What is the budgetary value of each token? In the position function for vertical pinnacle, southward(t) = ½atⁱⁱ + five₀t + s₀, s(t)represents height in meters and t represents time in seconds. (a) Notice the position office for a volleyball served at an initial height of 1 meter, with height of 6.275 meters ½ second after serve, and acme of 9.1 meters one second subsequently serve. (b) How long until the brawl hits the footing on the other side of the internet if anybody on that team completely misses it? Final Tuesday, Regal Cinemas sold a total of 8500 film tickets. Proceeds totaled $64,600. Tickets can be bought in one of iii ways: a matinee access costs $v, student admission is $half-dozen all mean solar day, and regular admissions are $8.50. How many of each type of ticket was sold if twice as many pupil tickets were sold as matinee tickets?