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nydimaria [60]
3 years ago
11

There are 127 lbs of fruits in the store: apples, oranges, and peaches. There are four times as many apples as there are peaches

, and 7 lbs more oranges than peaches. How many apples, oranges, and peaches are there in the store?
Mathematics
1 answer:
Pepsi [2]3 years ago
4 0
Let
x------> amount of pounds of apples
y------> amount of pounds of oranges
z-----> amount of pounds of peaches

we know that
x+y+z=127------> equation 1
x=4z-----> equation 2
y=7+z----> equation 3

substitute  equation 2 and equation 3 in equation 1
x+y+z=127----> (4z)+(7+z)+z=127---> 6z=127-7---> 6z=120----> z=20 lb
x=4z---> x=4*20----> x=80 lb
y=7+z----> y=7+20---> y=27 lb

 amount of pounds of apples----> 80 lb
amount of pounds of oranges----> 27 lb
amount of pounds of peaches---> 20 lb

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Thulani goes to the library every 7 days. He goes to the market every 4 days
emmasim [6.3K]

Thulani goes to both the library and the market for 5 more times during the year.

Step-by-step explanation:

Thulani goes to the library every 7 days. He goes to the market every 4 days.

We have to calculate the Least Common Multiple (LCM) to analyze the next common day on which he will go to both places.

The factors of 7 are:  1 x 7

The factors of 4 are: 2 x 2

Therefore, the LCM would be = 1 x 7 x 2 x 2

LCM = 28

LCM indicates that Thulani will go to both places on every 28th day.

To calculate the number of times (n) he will go to both places on same day. We can use the formula mentioned below:'

n = \frac{Number of days}{frequency}

Here frequency represents the LCM = 28.

The number of days are:

August: 30 (we are excluding 1st August)

September: 30

October: 31

November: 30

December: 31

Total  = 152

By putting the values in formula, we get

n = \frac{152}{28}

n = 5.42

As, the number of times can only be a whole number. Therefore, Thulani goes to both the library and the market for 5 more times during the year.

Learn more:

The following links have more information

brainly.com/question/12419898

brainly.com/question/12764620

Keywords: LCM, same day

#learnwithBrainly

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3 years ago
Use the number line to compare the numbers
Murljashka [212]

Answer:

-1 1/3, -3/4, 1/2, 0.7

Step-by-step explanation:

-1 1/3 = -1.33

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1/2 = .5

0.7

8 0
3 years ago
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