<p>1.&#160; One number is 11 more than another number.&#160; If 3 times smaller

Question

<p>1.&#160; One number is 11 more than another number.&#160; If 3 times smaller number is added to 5 times the larger number, the sum is 191.&#160; Find the two numbers</p>
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<p>2.&#160; Kay's change purse has nickels and dimes in it.&#160; The number of nickels is 5 more than twice the number of dimes.&#160; If the total value of the coins is $4.05, how many nickels are in the purse?</p>
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<p>3.&#160; Dianne was given $35,000 when she retired.&#160; She invested some at 7% interest and the rest at 9%.&#160; If she earned $2910 in interest in one year, how much was invested in each account?</p>
<p>4.&#160; A bartender has rum that is 40% alchohol.&#160; How much rum and how much cola need to mixed together tomake 5 liters of rum and cola that is 16% alcohol?</p>
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Explanation / Answer

#1 First, it says that one # is 11 more than the other number. We will name that "other number" "x". So now the number that is 11 more than the other number(x), is x+11. We will call this y (you can use whatever variable you want to solve this) Now it says that three times the smaller number(x) plus 5 times the larger number equals 191 so 3*x + 5*(x+11)=191 now we can solve for x and y (which is x+11) distribute the 5 into the (x+11) now we have 3x+5x+55=191 subtract 55 from 191 3x+5x=136 8x=136 divide 136 by 8 x=17 now since y=x+11 plug in the 17 for the x y=17+11=28 so the two numbers are 17 and 28 I hope this helps I'm still getting to the other problems

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