Question

Снова дали задачу, прошу помочь! Срочно: на экзаменах Даша получила на 60% больше баллов, чем Костя. Сколько баллов получила Даша, если вместе они получили 169 баллов?

Answer 1

Объяснение:

Пусть количество баллов, которое получил Костя равно х.      ⇒

Количество баллов, которое получила Даша равно:

                                $x+\frac{60\%*x}{100\%}=x+0,6x=1,6x.$

$1,6x+x=169\2\\2,6x=169\ |:2,6\\x=65.\\169-65=104.$

Ответ: Даша получила 104 балла.

Answer 2

Calculating Dasha's Score

To calculate Dasha's score, we can use the information provided in the question. Let's denote Kostya's score as K and Dasha's score as D. We know that Dasha received 60% more points than Kostya, and together they received 169 points. We can set up the following equation to solve for Dasha's score:

D = K + 0.6K (Dasha's score is 60% more than Kostya's score)

D + K = 169 (Together they received 169 points)

By substituting the first equation into the second equation, we can solve for Dasha's score.

Solution

Let's solve the equations to find Dasha's score:

D + K = 169

D = K + 0.6K

Substitute the second equation into the first equation:

(K + 0.6K) + K = 169

1.6K + K = 169

2.6K = 169

K = 169 / 2.6

K ≈ 65

Now, we can find Dasha's score:

D = K + 0.6K

D = 65 + 0.6*65

D = 65 + 39

D = 104

Answer

Therefore, Dasha received 104 points and Kostya received 65 points.