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arsen [322]
1 year ago
9

A store manager wishes to reduce the price on her fresh ground coffee by mixing two grades. If she has 35 pounds of coffee which

sells for $2.40 per pound, how much coffee worth $1.80 per pound must she mix with it so that she can sell the final mixture for $2.10 per pound?
Mathematics
2 answers:
kari74 [83]1 year ago
8 0

35 lbs, your welcome even though you probably don't need the answer anymore

aivan3 [116]1 year ago
6 0

Answer:

the answer is 35 lbs

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Answer:

LJ=15\ units

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the length side KJ

In the right triangle JKM

Applying the Pythagoras Theorem

KJ^{2}=JM^{2}+KM^{2}

we have

JM=3\ units

KM=6\ units

substitute

KJ^{2}=3^{2}+6^{2}

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simplify

KJ=3\sqrt{5}\ units

step 2

Find the value of cosine of angle MJK in the right triangle JKM

cos(JKM)=JM/KJ

substitute the values

cos(JKM)=\frac{3}{3\sqrt{5}}

simplify

cos(JKM)=\frac{\sqrt{5}}{5} -----> equation A

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Find the value of cosine of angle MJK in the right triangle JKL

cos(JKM)=KJ/LJ

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KJ=3\sqrt{5}\ units

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