Eric, Shenna, and Yael are playing a game. Eric has half as many points as Shenna. Shenna has three fewer points than Yael. Alto

Question

8 months ago

7

gether, the three players have 68 points. How many points does Yael Have?

1 answer:

Anon25 [30] · Answer 1 · 2024-03-11T08:28:51+03:00

Using algebraic equations, the number of points Yael has is calculated as: 29 points.

<h3>How to Use Algebraic Equations to Solve Word Problems?</h3>

In the given world problem, we known the following:

E = Eric

S = Shenna

Y = Yael

Their total points would be: E + S + Y = 68

S = 2(E) (Shenna has twice the points of Erik)

Y = S + 3 (Yael has three points more than Shenna)

We would therefore have the following algebraic equation:

E + 2E + (S + 3) = 68

Substitute S with 2E

E + 2E + 2E + 3 = 68

Solve for E

5E + 3 = 68

5E = 68 - 3

5E = 65

5E/5 = 65/5

E = 13

Eric's points is: 13

Yael's points = Y = S + 3

Y = S + 3 = 2E + 3

Plug in the value of E

Y = 2(13) + 3

Y = 26 + 3

Y = 29

Yael has 29 points.

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