Auggie spent all of his money in 5 stores. In each store, he spent $1 more than one-half of what he had when he went in. How many dollars did Auggie have when he entered the first

Total amount of Auggle when he entered the first = $62

Step-by-step explanation:

Let x be the total amount of Auggle when he entered the first.

Number of the store = 5

We need to find the total amount of Auggle when he entered the first.

Solution:

From the above statement he spent $1 more than one-half of total amount of Auggle when he entered the first.

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So, when he leaves the first store

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When he go second store, he spends

So, he has ⇒

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Similarly for third store.

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Similarly for fourth store.

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Similarly for fifth store.

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When he leaves the fifth store, he has

⇒

Therefore, Auggie have $62 when he entered the first store.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6