Question

Plz helps me I don’t get these I’m hoping for a smart math helper

Answer 1

1) since the probability of garden is 3/20, the total number of cards has to be a multiple of ten. 10 and 20 do not work, but 30 does. number 1 is 30

2) since the odds are 2/5, they're had to be 2/5*30=12

3) since the odds are3/10, there are 3/10*30=9

4)

Answer 2

probability of building + probability of garden + probability of monument = 1

2/5 + 3/10 + x = 1

2(2) + 1(3) + 10(x) =10(1)

4 + 3 + 10x =10

10x = 3

x =3/10

Total cards (c) x probability of monument (3/10) = # of monument cards (9)

3/10c = 9

c = 9(10/3)

c = 30 Total postcards in the box

Total cards (30) x probability of building (2/5) = # of building cards (b)

30 x 2/5 = b

12 = b number of building postcards

Total cards (30) x probability of garden (3/10) = # of garden cards (g)

30 x 3/10 = g

9 = g number of garden postcards

Answers: 30 postcards, 12 building cards, 9 garden cards

4)

Total cards (c) x probability of building (2/5) = # of building cards (12 + 8)

c (2/5) = 20

c = 20(5/2)

c = 50

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Total cards (50) x probability of garden (3/10) = # of garden cards (g)

50 (3/10) = g

15 = g

There were 9 garden cards and now there are 15

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Total cards (50) x probability of monument (3/10) = # of monument (m)

50 (3/10) = m

15 = m

There were 9 monument cards and now there are 15 cards

Answer: 6 more garden and 6 more monument postcards