Question 1129909
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Let last year's prices be B, J, and T.  The sum of the prices last year was $140,000:<br>
(1) {{{B + J + T = 140000}}}<br>
The BMW increased in price by 9%, the Jeep by 5%, and the Toyota by 11%.  The sum of the prices this year is $151,830:<br>
(2) {{{1.09B + 1.05J + 1.11T = 151380}}}<br>
The price of last year's Jeep was $7000 less than the price of last year's BMW:<br>
(3) {{{J = B-7000}}}<br>
With the ugly decimal coefficients, I would definitely use matrices on a graphing calculator to solve the problem.  The first two equations are in the required form for most graphing calculators; the third equation needs to be put in that form.  The matrix would be<br>
{{{matrix(3,4,1,1,1,1400000,1.09,1.05,1.11,151830,1,-1,0,7000)}}}<br>
You can do the calculations....<br>
Note the answers are nice whole numbers....