Q1 You can put this solution on YOUR website! Marina had RM24,500 to invest. She divided the money into three different s. At the end of the year, she had made RM1,300 in interest. The annual yield on each of the three s was 4%, 5.5%, and 6 %. If the amount of money in the 4% was four times the amount of money in the 5.5% , how much had she placed in each acco unt? : let a = amt in the 4% acct let b = amt in the 5.5% acct let c = amt in the 6% : "Marina had RM 24,500 to invest." a + b + c = 24500 " At the end of the year, she had made RM1,300 in interest. The an nual yield on each of the three s was 4%, 5.5%, and 6%." .04a + .055b + .06c = 1300 "If the amount of money in the 4% was four times the amoun t of money in the 5.5% ," a = 4b how much had she placed in each ? : Replace a with 4b in both equations, simplify 4b + b + c = 24500 5b + c = 24500 c = -5b + 24500 : .04(4b) + .055b + .06c = 1300 .16a + .055b + .06c = 1300
.215b + .06c = 1300 replace c with (-5b+24500) .215b + .06(-5b+2400) = 1300 .215b - .3b + 1470 = 1300 -.085b = 1300 - 1470 b = -170/-.085 b = $2000 in the 5.5% investment then c = -5(2000) + 24500 c = -10000 + 24500 c = $14,500 in the 6% Find a using the 1st equation, replace b & c a + 2000 + 14500 = 24500 a = 24500 - 16500 a = $8000 in the 4% acct
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Click here to see ALL problems on Mixture Word Problems Did you know that Algebra.Com has Question 522739: Billy's restaurant ordered 200 hundreds of free volunteer tutors who flowers for Mother's Day. They ordered carnations help people with math homework? at $1.50 each, roses at $5.75 each, and daisies at Anyone can ask a math question, and $2.60 each. they ordered mostly carnations, and 20 most questions get answers! fewer roses than daisies. the total order came to Check it Out! $589.50. How do i find out how many of each type OR get immediate PAID help on: of flower was ordered? Type Your Question (Scroll Down for Answer!) Go!!!
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You can put this solution on YOUR website! Billy's restaurant ordered 200 flowers for Mother's Day. They ordered carna tions at $1.50 each, roses at $5.75 each, and daisies at $2.60 each. they o rdered mostly carnations, and 20 fewer roses than daisies. the total order ca me to $589.50. How do i find out how many of each type of flower was orde red? -----------------------Quantity Eq: c + r + d = 200 Value Eq:::1.5c+5.75r+2.6d = 589.5 dollars r = d-20 c = 200-d-(d-20) = 200-2d+20 = 220-2d --Three Equations: 1.5c+5.75r+2.6d = 589.5 dollars c......0*r..+2d...= 220 c + r + d = 200 -------------------I used a Matrix Method to get: c = 80 (# of carnationsr = 50 (# of roses) d = 70 (# of daisies)