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AlexFokin [52]
3 years ago
6

Philip pays $1620 in rent every month. This amount is $120 more than twice what his brother Paul pays for rent. How much does Pa

ul pay for rent?
Mathematics
2 answers:
Zanzabum3 years ago
4 0
1620 = 2x + 120
1500 = 2x
x = 750

Paul pays $750 for rent.
Andrej [43]3 years ago
3 0

Answer: $750

Step-by-step explanation: To solve this problem, we need to write an equation that expresses the given information, we know that twice Paul's rent (x) plus another $120 equals Philip's rent that is $1620, so we can write that as follows:

2x+$120=$1620

isolating the "x" we have that:

2x=$1620-$120

2x=$1500

x=$750

So Paul pays $750 for rent.

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OperumONS UNTUI a) Find the greatest number that divides 36, 45 and 63 without leaving a remainder. b) c) Find the greatest numb
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Answer:

a) The greatest number that divides 36, 45, and 63 without leaving a remainder is 9

b) The greatest number which exactly divides 90, 120, and 150 is 30

c) The greatest capacity of the bucket is 10 liters

d) The greatest number of people to whom the items can be distributed equally is 40 people

ii) 2 kg of wheat flour, 3 kg of corn and 4 kg of rice

e) The greatest number of children to whom the 48 orange, 80 bananas, and 144 apples can be distributed equally is 16

ii) 3 oranges, 5 bananas and 9 apples each

f) 5 mangoes at a time from the basket containing 120 mangoes

7 mangoes at a time from the basket containing 168 mangoes

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Step-by-step explanation:

a) The greatest number that divides 36, 45, and 63 without leaving a remainder = The highest common factor of 36, 45, and 63, which is given as follows;

36 = 9 × 4

45 = 9 × 5

63 = 9 × 7

Therefore, The greatest number that divides 36, 45, and 63 without leaving a remainder  = The highest common factor of 36, 45, and 63 = 9

b) 90 = 30 × 3

120 = 30 × 4

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The greatest number which exactly divides 90, 120, and 150 is 30

c) The factors of the volumes are;

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60 l = 10 × 6 l

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d) The masses of the items are

The factors of 80 = 40 × 2

120 = 40 × 3

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80 = 16 × 5

144 = 16 × 9

Therefore, the greatest number of children = 16

ii) Each child gets 3 oranges, 5 bananas and 9 apples

f) The factors of 120 = 24 × 5

168 = 24 × 7

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The greatest number of mangoes which is to be taken out of the basket with 120 mangoes = 5 mangoes each (24 times)

The greatest number of mangoes which is to be taken out of the basket with 168 mangoes = 7 mangoes each (24 times)

g) The area of the floor = 12 m × 10 m = 120 m²

The factor of 120 m² which is a perfect square is 4 therefore, we have;

The side length of each squared marble, s = √4 = 2

The side length of each squared marble, s = 2 m

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