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

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.

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