Calculate the length of the hypotenuse 10,14

Ciro purchased a concert ticket for $56 . The cost of the ticket was 4/5 the cost of his dinner. The cost of his hotel was 2 1/2

NeTakaya

$266

<h3>Further explanation</h3>

<u>Given:</u>

Ciro purchased a concert ticket for $56.

The cost of the ticket was ⁴/₅ the cost of his dinner.

The cost of his hotel was 2¹/₂ times much as his ticket.

<u>Question:</u>

How much did Ciro spend altogether for the concert ticket, hotel, and dinner?

<u>The Process:</u>

Note from all the data above we can start from the cost of his dinner by forming a pattern of 5 units.

$Dinner: \boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}$

Since the cost of the ticket is ⁴/₅ the cost of the dinner, then we arrange the cost of the ticket by forming a pattern of 4 units containing $ 14 each. Recall that $\boxed{\$ 56 \div 4 = \$ 14}$

$Ticket: \boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14} = \$ 56$

Let us calculate the cost of his dinner:

$\boxed{ \ 1 \ unit = \$ 14 \rightarrow 5 \ units = \$ \ ? \ }$

$Dinner: \boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14} = \$ 70}$

$\boxed{ \ \ or \ 5 \ unit \times \$ 14 = \$ 70 \ }$

Hence, the cost of his dinner is $\boxed{\boxed{ \ \$ 70 \ }}$

Since the cost of his hotel is 2¹/₂ times much as his ticket, then we arrange the cost of his hotel by forming a pattern of two and one-half units of the cost of ticket.

Let us calculate the cost of his hotel:

$\boxed{ \ 1 \ ticket = \$ 56 \rightarrow 2\frac{1}{2} \ units = \$ \ ? \ }$

$Hotel: \boxed{\$ 56}\boxed{\$ 56}\boxed{\$ 28} = \$ 140}$

$\boxed{ \ \ or \ \frac{5}{2} \ unit \times \$ 56 = \$ 140 \ }$

Recall that $\boxed{\ 2\frac{1}{2} = \frac{5}{2}}$

Hence, the cost of his hotel is $\boxed{\boxed{ \ \$ 140 \ }}$

In the final step, we calculate how much Ciro spend altogether for the concert ticket, hotel, and dinner.

$\boxed{ \ The \ concert \ ticket = \$ 56 \ }$

$\boxed{ \ The \ hotel = \$ 140 \ }$

$\boxed{ \ The \ dinner = \$ 70 \ }$

$\boxed{ \ \$ 56 + \$ 140 + \$ 70 = \$ 266 \ }$

Thus, Ciro spent $266 altogether for the concert ticket, hotel, and dinner.

<h3>Learn more</h3>

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Keywords: Ciro purchased a concert ticket for $56, pattern, 4/5 the cost of his dinner, the cost of his hotel was 2 1/2 times much as his ticket, Ciro spend altogether

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