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blondinia [14]
2 years ago
7

HELPP! How many 3 digit numbers have a product of the digits that equals sixty?

Mathematics
2 answers:
Elena L [17]2 years ago
6 0
Yes those are called factors and they listed them for you so mark them brainiest ^^^
gavmur [86]2 years ago
4 0

Answer:

24

Step-by-step explanation:

Let's see the factor pairs of 60 first.

1,60

2,30

3,20

4,15

5,12

6,10

10,6

12,5

15,4

20,3

60,1

1,60 and 60,1 is not possible for xy1 and 1xy. It is because any one digit*one digit=not 60. The remaining pairs are...

2,30

3,20

4,15

5,12

6,10

10,6

12,5

15,4

20,3

30,2

Next, start with 2,30 and 30,2

The one digit factor pairs of 30 is 5 and 6.

So...

256 is possible

265 is possible

562 is possible

652 is possible

3,20

4,15

5,12

6,10

10,6

12,5

15,4

20,3

+4

Next, 3,20 and 20,3

20=4*5

453,543,345,354

4,15

5,12

6,10

10,6

12,5

15,4

+8

4,15 and 15,4

4 number that are possible(5*3=15)

5,12

6,10

10,6

12,5

+12

5,12 and 12,5

3,4 and 2,6

526,562,534,543,435,345,265,625

6,10

10,6

+20

10=5*2

+4

20+4=24

(Sorry it's long)

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Ne4ueva [31]

Answer: Eric has 20 stickers

=========================================================

Explanation:

x = number of stickers Sally starts with

y = number of stickers Eric has

x/y is the ratio of the two values. This ratio is 3/5. So x/y = 3/5 which cross multiplies to 5x = 3y. We can divide both sides by 5 to end up with x = 3y/5

"Sally the bought another six stickers" meaning she starts with x and bumps up to x+6. Eric's sticker count stays the same. The ratio is now (x+6)/y. We can replace the x with 3y/5 and simplify

(x+6)/y = (3y/5+6)/y

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10(3y+30) = 9(5y) ... cross multiply

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300 = 45y-30y

300 = 15y

15y = 300

y = 300/15

y = 20

Eric has 20 stickers. At this point you can stop as your teacher doesn't seem to want to know Sally's count. However, I'll keep going to show how to get that value.

x = 3y/5

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x = 60/5

x = 12

Sally starts off with 12 stickers. Note how x/y = 12/20 = 3/5 meaning that the ratio x:y = 12:20 reduces to 3:5 (divide both parts by 4)

If we add 6 stickers to Sally's count, then she now has x+6 = 12+6 = 18 stickers. It leads to the ratio 18:20 = 9:10 (divide both parts by 2). So the answer is confirmed.

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