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?

$266

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.

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

Let us calculate the cost of his dinner:

Hence, the cost of his dinner is

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:

Recall that

Hence, the cost of his hotel is

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

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

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

Step-by-step explanation:

Let

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

y----> the cost of the hotel

we know that

------>

therefore

the axial of symmetry

step-by-step explanation: