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wolverine [178]
3 years ago
13

Gabriela coleciona moedas e em sua coleção há 165 moedas de ouro,220 moedas de prata e 275 moedas de bronze. Ela deseja organiza

r essa coleção em caixas que tenham o mesmo número de moedas e de tal modo que cada caixa contenha o maior número possível de moedas de um só tipo.Nessas condições,quantas moedas Gabriela deve colocou-se em casa causa
Mathematics
1 answer:
kondor19780726 [428]3 years ago
7 0

Answer: 55 coins in each box (12 boxes in total)

Step-by-step explanation:

The question in english is as follows:

Gabriela collects coins and in her collection there are 165 gold coins, 220 silver coins and 275 bronze coins. She wants to organize this collection in boxes that have the same number of coins and in such a way that each box contains the largest possible number of coins of a single type.

Under these conditions, how many coins Gabriela should put in each box?

So, we have 165 gold coins, 220 silver coins and 275 bronze coins, which sum in total 660 coins.

If we want to organize these coins in boxes with the same number of coins, we have to calculate the greatest common divisor among these three numbers:

<u>Divisors for 165:</u> 33, 5, 1

<u>Divisors for 220:</u> 44, 5, 1

<u>Divisors for 275:</u> 55, 5, 1

As we can see, the greatest common divisor is 55, this means we have to put 55 coins of the same type in each box.

In addition, taking into account we have a total of 660 coins; if we divide this by 55 we have as a result 12 boxes.

Therefore, Gabriela has to put 55 coins of the same type in 12 boxes.

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Verdich [7]

100 because sum means addition so 1+0+0 is one, and one X one hundred is 100

Hope this helps :D

5 0
3 years ago
The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than
svlad2 [7]

The shop sold 36 sundaes and 28 banana spilts

<em><u>Solution:</u></em>

Let "a" be the number of sundaes sold

Let "b" be the number of banana spilts sold

Cost of 1 sundaes = $ 2

Cost of 1 banana spilt = $ 3

<em><u>On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156</u></em>

Therefore,

Number of sundaes sold = 8 + number of banana spilts sold

a = 8 + b ------- eqn 1

<em><u>Also, given that they made $ 156</u></em>

<em><u>Therefore, we frame a equation as</u></em>:

Number of sundaes sold x Cost of 1 sundaes + number of banana spilts sold x Cost of 1 banana spilt = 156

a \times 2+b \times 3 = 156

2a + 3b = 156 ---------- eqn 2

<em><u>Substitute eqn 1 into eqn 2</u></em>

2(8 + b) + 3b = 156

16 + 2b + 3b = 156

16 + 5b = 156

5b = 156 - 16

5b = 140

<h3>b = 28</h3>

<em><u>Substitute b = 28 in eqn 1</u></em>

a = 8 + 28

<h3>a = 36</h3>

Thus the shop sold 36 sundaes and 28 banana spilts

4 0
3 years ago
12 cm<br> 7 cm<br> 2 cm<br> 3 cm<br> 14 cm<br> What is the area of the object above?
Yuri [45]
Hey!! I got 90cm for the answer
5 0
2 years ago
To convert 12 yards to inches, you would use the ratio .36inches/1 yard true or false ?
Taya2010 [7]
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8 0
3 years ago
Which formula gives the area of a parallelogram? (3)
SVEN [57.7K]

Answer:

A = bh (the last one)

Step-by-step explanation:

To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply. The base and height of a parallelogram must be perpendicular.

5 0
3 years ago
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