SOLUTION: Use two equations in two variables to solve the problem.
According to the National Vital Statistics Reports, in 2004, the number of Americans who died from heart disease was abo
Question 785768: Use two equations in two variables to solve the problem.
According to the National Vital Statistics Reports, in 2004, the number of Americans who died from heart disease was about 6 times the number who died from accidents. If the total number of deaths from these two causes was 763,000, how many Americans died from each cause in 2004?
heart disease Americans
accidents Americans
Use two equations in two variables to solve the problem.
At a store, ice cream cones cost $0.90 and sundaes cost $1.65. One day a total of 155 cones and sundaes were sold and the receipts totalled $191.25. How many cones were sold? CONES Found 2 solutions by mananth, josgarithmetic:Answer by mananth(16946) (Show Source):
1 x + 1 y = 763000 .............1
Total value
-6 x + 1 y = 0 .............2
Eliminate y
multiply (1)by -1
Multiply (2) by 1
-1 x -1 y = -763000
-6 x + 1 y = 0
Add the two equations
-7 x = -763000
/ -7
x = 109000
plug value of x in (1)
1 x + 1 y = 763000
109000 + y = 763000
y = 763000 -109000
y = 654000
y = 654000
x= 109000 Number of Americans died in accidents
y= 654000 Number of Americans who died with heart disease
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x= Number of Cones
y= Number of Sundaes
1.00 x + 1.00 y = 155.00 .............1
Total value
0.90 x + 1.65 y = 191.25 .............2
Eliminate y
multiply (1)by -1.65
Multiply (2) by 1.00
-1.65 x -1.65 y = -255.75
0.90 x + 1.65 y = 191.25
Add the two equations
-0.75 x = -64.50
/ -0.75
x = 86
plug value of x in (1)
1.00 x + 1.00 y = 155.00
86.00 + y = 155.00
y = 155.00 -86.00
y = 69.00
y = 69
x= 86 Number of Cones
y= 69 Number of Sundaes
m.ananth@hotmail.ca
You can put this solution on YOUR website! National Vital Statistics, Deaths:
x = death from heart attack
y = accidents deaths
If total deaths 763000, then
The two equations form a system, and simple substitution for x will help you quickly find y.
Icecream & Cones:
c = how many cones
s = how many sundays (sundaes)
One day, . The given prices let us say .
The cost equation can be simplified very much: , .
Now multiply the count equation by 6 and subtract from the simplified cost equation.... or ignore this method and just use substitution if you want.
then
Using that value,
86 cones, 69 sundaes
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