Question

1) 1 человек потребляет пачку витаминок за 60 дней. За сколько дней эту пачку употребят 3 человека. 2) 4 торта стоят столько же сколько и 5 булочек. В кондитерской за 5 тортиков и 4 булочки заплатим 246 гривен. Рассчитайте сколько гривен стоит 1 тортик. (Можно пожалуйста с обьяснением как это решать)

Answer 1

Пошаговое объяснение:

1.

Обратная пропорция:

1 чел ------ 60 дней

3 чел ------   х дней

х=60:3=20

За 20 дней.

2. Тортик - т, булочка - б.

4т = 5б;  1т=1,25б

5т+4б=246;  5*1,25б+4б=246;  6,25б+4б=246;  10,25б=246;  1б=24;

т=1,25*24=30 грн.

Ответ: 30 грн.

Answer 2

Пошаговое объяснение:

№1

1 человек = 60 дней

3 человека = х дней

1/3 = х/60

3 * х = 1 * 60

3х = 60

х = 60 : 3

х = 20

Ответ: за 20 дней

2)

1 торт = х грн

1 булочка = у грн

4х = 5у

5х + 4у = 246

4х - 5у = 0

5х + 4у = 246 | : 5

4х - 5у = 0

х + 0,8у = 49,2

4х - 5у = 0

х = 49,2 - 0,8у

1)

4х - 5у = 0

4(49,2 - 0,8у) - 5у = 0

196,8 - 3,2у - 5у = 0

-3,2у - 5у = 0 - 196,8

-8,2у = -196,8

у = -196,8 : (-8,2)

у = 24

2)

х = 49,2 - 0,8у

х = 49,2 - 0,8*24

х = 49,2 - 19,2

х = 30

1 торт = (х) = 30 грн

1 булочка = (у) = 24 грн

Answer 3

Question 1: 1 person consumes a pack of vitamins in 60 days. How many days will it take for 3 people to consume this pack?

To find the number of days it will take for 3 people to consume the pack of vitamins, we can use the concept of proportionality.

Let's assume that the number of days it takes for 1 person to consume the pack is x days.

According to the given information, 1 person consumes the pack in 60 days.

So, we can set up the following proportion:

1 person's consumption time / 3 people's consumption time = 1 person's consumption amount / 3 people's consumption amount

x / (3 * 60) = 1 / 3

To solve for x, we can cross-multiply and solve for x:

x = (3 * 60) / 3

x = 60

Therefore, it will take 3 people 60 days to consume the pack of vitamins.

Answer: 60 days.

Question 2: 4 cakes cost the same as 5 buns. In a pastry shop, we pay 246 hryvnias for 5 cakes and 4 buns. Calculate the cost of 1 cake.

To calculate the cost of 1 cake, we need to find the cost of 4 cakes first.

According to the given information, 4 cakes cost the same as 5 buns.

Let's assume the cost of 4 cakes is x hryvnias.

So, we can set up the following proportion:

4 cakes' cost / 5 buns' cost = 4 cakes' quantity / 5 buns' quantity

x / 5 = 4 / 5

To solve for x, we can cross-multiply and solve for x:

x = (4 * 5) / 5

x = 4

Therefore, the cost of 4 cakes is 4 hryvnias.

Now, we can calculate the cost of 1 cake:

Cost of 1 cake = Cost of 4 cakes / 4

Cost of 1 cake = 4 / 4

Answer: 1 hryvnia.