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Vera_Pavlovna [14]
2 years ago
7

Daniel has 40 points and Zeke has 75. The opposing team has 150. It is Daniel's turn. How many points

Mathematics
1 answer:
gogolik [260]2 years ago
7 0

Answer:

Daniel would have to earn 35 or more points to put him and his teammate ahead.

Step-by-step explanation:

Daniel: 40 points

Zeke: 75 points

Opposing team: 150

Daniel + Zeke + x = Opposing team

40 + 75 + x = 150

- rearrange -

150 = 40 + 75 + x

150 = 115 + x

150 - 115 = x

35 = x

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Answer:

A salad costs $2.50

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Step-by-step explanation:

Let x represent the salad, y represent the sandwich, and z represent the drink.

Since three salads, two sandwiches, and one drink cost $17.75:

3x + 2y + z = 17.75  (1)

Since one salad, one sandwich, and three drinks cost $10.75:

x + y + 3z = 10.75  (2)

Since a salad costs twice as much as a drink:

x = 2z  (3)

Multiply the equation 2 by -2 then, sum the equation 1 and equation 2:

-2x - 2y - 6z = -21.50

3x + 2y + z = 17.75

→ x - 5z = -3.75

Replace the x with 2z using equation 3:

2z - 5z = -3.75

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x = 2z → x = 2.50

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3 years ago
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Step-by-step explanation:

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