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12. Jasper has 6 more cards than Ethan. Two timesEthans plus 3 times Jaspers is 68. How manycards does Jasper have ?

Sagot :

Let's call:

J: number of cards that Jasper has

E: number of cards that Ethan has

Jasper has 6 more cards than Ethan:

J = E + 6 (eq. 1)

Two times Ethans plus 3 times Jaspers is 68:

2E + 3J = 68 (eq. 2)

Replacing equation 1 into equation 2:

2E + 3(E + 6) = 68

2E + 3E + 3*6 = 68

5E = 68 - 18

E = 50/5

E = 10

From equation 1:

J = 10 + 6 = 16

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