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borishaifa [10]
4 years ago
9

Laura's uncle donated 120 cans of juice and 90 packs of cheese crackers for the school picnic. Each student is to receive the sa

me number of cans of juice and the same number of packs of crackers. What is the largest number of students that can come to the picnic and share the food equally? How many cans of juice and packs of cheese crackers will each student get?
Answer: The largest number of students that can come to the picnic is( ) students. Each student will get ( )cans of juice and( ) packs of cheese crackers.
Mathematics
2 answers:
Ghella [55]4 years ago
8 0
So we want to know what the largest number that can go into both 90 and 120 aka the Greatest common factor or GCF

so 90=3*3*2*5
120=2*2*3*2*5
the number in common are 3*2*5
if we multiply that out we get 30
so 30 is the maximum number of students so that they all share equally so
90/30=3 so each student gets 3 packs of cheese crackers
120/30=4 so each student gets 4 cans of juice
liubo4ka [24]4 years ago
3 0

Ok, First you have to find the GCF of 120 and 90. When I got the answer I got a GCF of 30. I got 30 by multiplying all the number prime numbers 120 and 90 had, 2×3×5=30  What I did next was  divide thirty by the number of  cracker and also by the number of can of juice.

120÷30= 4

90÷30=  3

So as you can see there could be a maximum 30 of kid's. Each of the kids would receive 4 cans of juice and 3 packs of cheese crackers.


I hope you enjoyed my explanation. :)

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One cake feeds 14 people. Use a proportion to find how many cakes must be purchased to feed 60 people.
katrin2010 [14]

Answer:

5 cakes


hope it helps

Step-by-step explanation:

if one cake feed 14 people and you are tying to fine out how many cakes you need to feed 60 people you would have to divide 60 by 14

1 cake = 14 people

? cakes = 60 people

60 ÷ 14 = 4.28

so in order to have enough for 60 people you need to round so you would need 5 cakes

to check you answer you can multiply 5 by 14 and you answer should be the amount of people

5 x 14 = 70

why  cant it be 4? well because if you buy 4 cakes there wont be enough for 60 people and to make sure it wont be enough you can multiply 4 x 14

4 x 14 = 56

so 4 cakes only feeds 56 people so that is why your answer is 5 cakes are needed



8 0
4 years ago
a population of insects increases at a rate of 1.5% per day about how long will it take to double A)2.5 days b) 5.0 days c) 46.6
ANTONII [103]

We can use population formula

P(t)=P_0(1+r)^{t}

we are given

interest rate is 1.5% per day

so,

r=0.015

now, we can plug values

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P(t)=P_0(1.015)^{t}

we are given

P(t)=2Po

we can plug it

2P_0=P_0(1.015)^{t}

we can solve for t

2=(1.015)^{t}

t=46.55

so,

number of days is 46.5..........Answer


6 0
3 years ago
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svetoff [14.1K]

Answer:

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An urn contains 7 red marbles and 3 white marbles. three marbles are drawn from the urn one after the other. find the probabilit
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7/15 x 3/8 = 21/120 reduces to 7/40

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5 0
3 years ago
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