Question

At a local daycare, there is a ratio of 7 children to every 2 caretakers. If there are 189 total children, then how many are people are at the daycare facility?

Answer 1

There are 243 people at the daycare facility.

Step-by-step explanation:

Given,

Ratio of children to caretakers = 7:2

Total number of children = 189

Let,

x be the number of caretakers.

Ratio of children to caretakers = 189:x

Using proportion;

Ratio of children to caretakers :: Ratio of children to caretakers

$7:2::189:x$

Product of extreme = Product of mean

$7*x=189*2\\7x=378$

Dividing both sides by 7

$\frac{7x}{7}=\frac{378}{7}\\x=54$

There are 54 caretakers.

Number of people at daycare = Number of children + Number of caretakers

Number of people at daycare = 189+54 = 243

There are 243 people at the daycare facility.

Keywords: ratio, addition

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