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babunello [35]
3 years ago
6

Mark's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 4 senior tick

ets and 4 child tickets for a to total of 68. The school took in 120 on the second day by selling 12 senior tickets and 5 child tickets. Find the price of a senior ticket and a child ticket
Mathematics
1 answer:
erica [24]3 years ago
4 0

The cost of each senior ticket is $ 5 and cost of each child ticket is $ 12

<em><u>Solution:</u></em>

Let "a" be the price of each senior ticket

Let "b" be the price of each child ticket

<em><u>On the first day of ticket sales the school sold 4 senior tickets and 4 child tickets for a to total of 68</u></em>

Thus a equation is framed as:

4 senior tickets x price of each senior ticket + 4 child tickets x price of each child ticket = 68

4 \times a + 4 \times b = 68

4a + 4b = 68 ---------- eqn 1

<em><u>The school took in 120 on the second day by selling 12 senior tickets and 5 child tickets</u></em>

Similarly, we frame a equation as:

12 \times a + 5 \times b = 120

12a + 5b = 120 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Multiply eqn 1 by 3</u></em>

12a + 12b = 204 -------- eqn 3

<em><u>Subtract eqn 2 from eqn 3</u></em>

12a + 12b = 204

12a + 5b = 120

( - ) --------------

7b = 84

b = 12

<em><u>Substitute b = 12 in eqn 1</u></em>

4a + 4(12) = 68

4a + 48 = 68

4a = 20

a = 5

Thus cost of each senior ticket is $ 5 and cost of each child ticket is $ 12

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  12) : C: (a, y), (b, x), (c, w), (d, z); V:(a, c), (b, d), (w, y), (x, z);

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Step-by-step explanation:

This is a vocabulary question. It is intended to see if you understand the meaning of the names given to the different angle pairs in this geometry.

All of the pairs of angles filling the first 4 blanks (corresponding, vertical, alt. int., alt. ext.) are congruent pairs of angles. The pairs of angles filling the last two blanks (same-side ...) are supplementary angles (total 180°).

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