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SashulF [63]
2 years ago
7

Alexa is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Alexa spent $22.50 altog

ether in 14 games and rides
Mathematics
1 answer:
rewona [7]2 years ago
6 0

Answer:

Games = x = 9

Rides = y = 5

Step-by-step explanation:

Let

Games = x

Rides = y

x + y = 14 (1)

1.25x + 2.25y = 22.50 (2)

From (1)

x = 14 - y

Substitute x = 14 - y into (2)

1.25x + 2.25y = 22.50

1.25(14 - y) + 2.25y = 22.50

17.5 - 1.25y + 2.25y = 22.50

- 1.25y + 2.25y = 22.50 - 17.5

y = 5

Substitute y = 5 into (1)

x + y = 14

x + 5 = 14

x = 14 - 5

x = 9

Games = x = 9

Rides = y = 5

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2 years ago
Mark, Jessica &amp; Nate each downloaded music from the same website. Mark downloaded 10 songs in total consisting of pop, rock,
KengaRu [80]
P + r + h = 10 <== mark
5p + 2r + 3h = 28 <== jessica
3p + 3r + h = 20 <== nate

p + r + h = 10
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--------------------
p + r + h = 10
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-------------------add
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p + r + h = 10...multiply by -3
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---------------------
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Nate downloaded : 3p + 3r + h = 20
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20 = 20 (correct)...he got 3 pop, 12 rock, and 5 hip hop

Mark downloaded : p + r + h = 10
1 + 4 + 5 = 10
10 = 10 (correct)....he got 1 pop, 4 rock, and 5 hip hop <===

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