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Wittaler [7]
3 years ago
8

Find four consecutive integers whose sum is 114.

Mathematics
1 answer:
ziro4ka [17]3 years ago
6 0

27, 28, 29 and 30

consecutive integers have a difference of 1 between each one

let n be the first integer then the next three are

n + 1, n + 2 and n + 3

hence n + n + 1 + n + 2 + n + 3 = 114

4n + 6 = 114

subtract 6 from both sides of the equation

4n = 114 - 6 = 108

divide both sides by 4

n = \frac{108}{4} = 27

n = 27, n+ 1 = 28, n + 2 = 29, n + 3 = 30

the consecutive integers are 27, 28, 29 and 30



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2(x+60)+2(30)=200
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For a field trip, a highschool want to buy T-shirts and sweatshirts. The expression px + 29y repersents the cost of buying x T-s
marysya [2.9K]

Answer:

The value of p is $12.

Step-by-step explanation:

Given;

c = px + 29y ,,,,,,,,,,,,,,,,,,, (1)

Where;

c = cost of buying x T-shirts and y sweatshirts from the store

p = price of one or each T-shirt = ?

x = number of T-shirts bought

29 = price of one or each sweatshirt

y = number of sweatshirt bought

Based on the above breakdown, if each sweatshirt cost $17 more than a T-shirt, the value of p can be calculated as follows:

29 = p + 17

p = 29 - 17

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Therefore, the value of p is $12.

Additional note:

Note that this is not part of the question but it is just an example to make you understand the question better.

If we assume that 10 T-shirts and 10 sweatshirts are bought from the store, we can use equation (1) above to calculate the cost as follows:

Where;

c = cost of buying x T-shirts and y sweatshirts from the store = ?

p = price of one or each T-shirt = 12

x = number of T-shirts bought = 10

29 = price of one or each sweatshirt

y = number of sweatshirt bought = 10

Substituting the values into equation (1), we have:

c = (12 * 10) + (29 * 10)

c = 120 + 290

c = 410

Therefore, the cost of of buying 10 T-shirts and 10 sweatshirts from the store will be $410.

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