Matthew earns $0.10 for each local newspaper he delivers twice a week. His brother earns $0.25 for delivering each Sunday newspa
1 answer:
Let the number of houses the boys deliver newspaper = x
Matthew delivers 2x newspapers
His brother delivers x newspapers,
Matthew earns per paper = $0.10
Matthew delivers twice a week so he earns =
His brother earns per newspaper = $0.25
So, equation becomes,
So, there are 31 houses where both these boys deliver newspapers.
Hence, Matthew delivers 2*31= 62 newspapers
His brother delivers 31 newspapers.
So, option A : Matthew: 62 papers; brother: 31 papers is the right option.
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X+y=32
xy=-80
x+y=32
minus x both sides
y=32-x
sub for y
x(32-x)=-80
32x-x^2=-80
times both sides by -1
x^2-32x=80
minus 80 both sides
x^2-32x-80=0
use quadratic formula
where
ax^2+bx+c=0
x=
a=1
b=-32
c=-80
x=
x=
x=
x=
x=16+/-4√21
the numbers are
16+4√21 and 16-4√21
xy=-80
x+y=32
minus x both sides
y=32-x
sub for y
x(32-x)=-80
32x-x^2=-80
times both sides by -1
x^2-32x=80
minus 80 both sides
x^2-32x-80=0
use quadratic formula
where
ax^2+bx+c=0
x=
a=1
b=-32
c=-80
x=
x=
x=
x=
x=16+/-4√21
the numbers are
16+4√21 and 16-4√21