Question

На имеющиеся деньги можно купить 30 карандашей:а)Сколько тетрадей можно купить на те же деньги,если тетрадь дешевле карандаша в 2 раза;б)Сколько ручек можно купить на те же деньги,если ручка дороже карандаша в 10 раз.(тема пропорции)

Answer 1

a)30*2=60(тетрадей).                  b)30:10=3(ручки)

 

Answer 2

Proportion Problem: Buying School Supplies

To solve this problem, we'll use the concept of proportions. We know that we can buy 30 pencils with the given amount of money. Now, we need to find out how many notebooks and pens we can buy with the same amount of money.

# Part a) How many notebooks can be bought if a notebook is 2 times cheaper than a pencil?

To solve this, we can set up a proportion:

Pencils : Notebooks = 30 : x

Since the notebook is 2 times cheaper than the pencil, we can set up the proportion as:

1 : 2

Now, we can solve for x:

30 : x = 1 : 2

30 * 2 = x

x = 60

So, with the same amount of money, you can buy 60 notebooks.

# Part b) How many pens can be bought if a pen is 10 times more expensive than a pencil?

Similarly, we can set up a proportion:

Pencils : Pens = 30 : y

Since the pen is 10 times more expensive than the pencil, we can set up the proportion as:

1 : 10

Now, we can solve for y:

30 : y = 1 : 10

30 * 10 = y

y = 300

So, with the same amount of money, you can buy 300 pens.

I hope this helps! If you have any more questions or need further assistance, feel free to ask.