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kiruha [24]
3 years ago
10

Ernie went to the store and bought 33 apples. He bought three times as many red apples as he bought green, and he bought one-hal

f as many yellow as he did red. How many of each type of apple did he buy?
Mathematics
1 answer:
Ray Of Light [21]3 years ago
3 0
(r is red, g is green and y is yellow)
r+g+y=33
r=3g
2y=r

substitution:
y=33-g-r
y=33-(1/3)2y+2y
y=33-8/3y
11/3y=33
y=33÷(11/3)
y=9

Solve for red and green:

r=2y
r=2×9
r=18

3g=r
3g=18
g=18/3
g=6

double check:
6+18+9=33

answer:
6 green apples, 9 yellow apples and 18 red apples.
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Read 2 more answers
Can you help me solve this
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Keeping in mind that i² = -1,

\bf \begin{array}{c|ccccc}
-1+i&&1&5&1&4\\
&&&-1+i\\ &&---&--&--&--\\
&&1&4+i
\end{array}\\\\
-------------------------------\\\\
(-1+i)(4+i)\implies -4-i+4i+\stackrel{-1}{i^2}\implies -4-i+4i-1
\\\\\\
-5+3i\\\\
-------------------------------

\bf \begin{array}{c|ccccc}
-1+i&&1&5&1&4\\
&&&-1+i&-5+3i\\
&&---&---&----&--\\
&&1&4+i&-4+3i
\end{array}\\\\
-------------------------------\\\\
(-1+i)(-4+3i)\implies 4-3i-4i+3\stackrel{-1}{i^2}\implies 4-3i-4i-3
\\\\\\
1-7i\\\\
-------------------------------\\\\
\begin{array}{c|cccccc}
-1+i&&1&5&1&4\\
&&&-1+i&-5+3i&1-7i\\
&&---&---&----&---\\
&&1&4+i&-4+3i&\boxed{5-7i}&\leftarrow remainder
\end{array}


recall that a factor of the expression, gives a remainder of 0, and this one doesn't.
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