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3 years ago

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Lilly and Maggie decorated their windows with twinkle lights. Maggie used 51 more twinkle lights than Lilly. Fill in the box wit

h the expression that represents the amount of twinkle lights Maggie used. Let m represent the amount of twinkle lights Maggie used and l represent the amount of twinkle lights Lilly used.If Lilly used 70 twinkle lights, how many twinkle lights did Maggie use?

1 answer:

nadya68 [22]3 years ago

6 0

We know that
m-------------------- > <span>the amount of twinkle lights Maggie used
l--------------------- > </span><span>the amount of twinkle lights Lilly used
l=70
m=51+l
therefore
m=51+70=121
m=121

the answer is 121 (</span>amount of twinkle lights Maggie used)

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Ooh, fun

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from the 2nd equation we can take the cube root of both sides to get
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subsituting -1/5 for ar
$\frac{-7}{10}=\frac{\frac{-1}{5}}{r}+\frac{-1}{5}+(\frac{-1}{5})r$
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$r=\frac{5 \pm \sqrt{25-16}}{4}$
$r=\frac{5 \pm \sqrt{9}}{4}$
$r=\frac{5 \pm 3}{4}$
so
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use them to solve for the value of a
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try for r=2 and 1/2
$a=\frac{-1}{10}$ or $a=\frac{-2}{5}$

test each
for a=-1/10 and r=2
a+ar+ar²= $\frac{-1}{10}+\frac{-2}{10}+\frac{-4}{10}=\frac{-7}{10}$
it works

for a=-2/5 and r=1/2
a+ar+ar²= $\frac{-2}{5}+\frac{-1}{5}+\frac{-1}{10}=\frac{-7}{10}$
it works

both have the same terms but one is simplified

the 3 numbers are $\frac{-2}{5}$ , $\frac{-1}{5}$ , and $\frac{-1}{10}$

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