Question

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 times much ad his ticket. How much did Ciro spend altogether for the concert ticket, hotel, and dinner?

Answer 1

Answer:

$\ 266$

Step-by-step explanation:

Let

x------> the cost of the dinner

y----> the cost of the hotel

we know that

$\frac{4}{5}x=56$ ------>$x=56*5/4=\ 70$

$y=[2\frac{1}{2}](56)=\frac{5}{2}(56)=\ 140$

therefore

$\ 56+\ 70+\ 140=\ 266$

Answer 2

$266

Further explanation

Given:

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.

Question:

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

The Process:

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.

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