Joe is a waiter. Last week he made $130 in tips working 15 hours, yesterday he made $45 working 5 hours. What is his hourly rate
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The company bought 9 computers and 6 printers
<em><u>Solution:</u></em>
Let "x" be the number of computers bought
Let "y" be the number of printers bought
cost of 1 computer = $ 585
cost of 1 printer = $ 385
<em><u>The company buys a total of 15 machines</u></em>
Therefore, we can frame a equation as:
number of computers bought + number of printers bought = 15
x + y = 15 ------ eqn 1
<em><u>The company spends $7,575</u></em>
Therefore, we can frame a equation as:
number of computers bought x cost of 1 computer + number of printers bought x cost of 1 printer = 7575
585x + 385y = 7575 ------ eqn 1
<em><u>Let us solve eqn 1 and eqn 2</u></em>
From eqn 1,
x = 15 - y --------- eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
585(15 - y) + 385y = 7575
8775 - 585y + 385y = 7575
-200y = 7575 - 8775
-200y = -1200
y = 6
<em><u>Substitute y = 6 in eqn 3</u></em>
x = 15 - 6
x = 9
Thus the company bought 9 computers and 6 printers
<u>We </u><u>have </u><u>given </u><u>in </u><u>the </u><u>question </u><u>that</u><u>, </u>
- <u>The </u><u>sum </u><u>of </u><u>2</u><u> </u><u>numbers </u><u>is </u><u>equal </u><u>to </u><u>1</u><u>1</u><u> </u>
- <u>The </u><u>difference </u><u>between </u><u>two </u><u>numbers </u><u>is </u><u>1</u><u>9</u><u> </u><u>.</u>
- <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>x </u><u>and </u><u>y</u><u>. </u>
Let the two numbers be x and y
<u>According </u><u>to </u><u>the </u><u>question</u><u>, </u>
<u>Solving </u><u>eq(</u><u> </u><u>1</u><u> </u><u>)</u><u> </u><u>we </u><u>get </u><u>:</u><u>-</u><u> </u>
<u>Subsituting </u><u>eq(</u><u>3</u><u> </u><u>)</u><u> </u><u>in </u><u>eq</u><u>(</u><u>2</u><u>)</u><u> </u><u>:</u><u>-</u>
<u>Now</u><u>, </u><u> </u><u>Subsitute </u><u>the </u><u>value </u><u>of </u><u>y </u><u>in </u><u>eq(</u><u> </u><u>3</u><u> </u><u>)</u><u> </u><u>:</u><u>-</u>
Hence, The value of x and y are 15 and (-4) .