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According to a book of records, a woman gave birth 40 times, bearing a total of 53 children. Eight of the births were twins or triplets. How many single babies, twins, and triplets were born? Show work Thank you

Respuesta :

Answer:

The 53 children that were born are 32 single babies, 3 twins, and 5 triplets

Step-by-step explanation:

The total number the woman gave birth = 40

The total number of children = 53 children

The total number of twins or triplets = 8

Given that the woman only gave birth to single babies, twins and triplets, the total number of single babies births = 40 - 8 = 32 births

∴ The total number of single babies = 32 babies

The total number of children that are twins and triplets = 53 - 32 = 21

Therefore, whereby the number of triplets = x, we have;

The number of twins = 8 - x

Which gives;

3 × x + 2 × (8 - x) = 21

3·x + 16 - 2·x = 21

3·x - 2·x = 21 - 16

x = 5

Therefore, the number of triplets = x = 5 triplets

The number of triplets = 5 triplets

The number of twins = 8 - x = 8 - 5 = 3 twins

The number of twins = 3 twins

From which we have;

The 53 children that were born are;

32 single babies, 3 twins, and 5 triplets.

Answer:

32 single babies, 3 twins, and 5 triplets.

Step-by-step explanation: