The Cup That Paid the Rent

83-hikoya, jami 100 ta

Hikoyani tinglang

Highlighted words are key vocabulary — tap one to see its translation. Colors show the part of speech:

Verb Adjective Adverb Expression

Two numbers describe the stall, and they behave completely differently.

The first is the rent. It is ninety dollars a day, and it is ninety dollars whether she sells four hundred cups or none at all. It does not care. The second is the cost of the tea itself: two dollars a cup, every cup, and nothing when the stall is shut.

Against those she sets one number going the other way. Each cup sells for five dollars.

Draw the day on paper and you get two lines. One line is what she owes — it starts high, at ninety, and climbs by two with every cup. The other is what she takes — it starts at nothing and climbs by five. The second line is steeper, so however far behind it begins, it must eventually catch the first. The only question is where.

Three dollars of every cup goes towards the rent, so it takes thirty cups to cover it. Sell twenty-nine and she has lost money. Sell thirty-one and the day is hers. That crossing point has a name in her notebook and in every business textbook, and it is the number she watches all morning.

What matters for a test is the shape of the thought, not the tea. Two quantities, each changing at its own steady rate, and a question about the moment they are equal — that is one line crossing another, and it is the same picture whether the answer is a price, a distance or a day.

Matndagi atamalar

Kartani bosing — taʼrifi chiqadi.

stall
rasta, doʻkoncha
behave
oʻzini tutmoq
rent
ijara
shut
yopiq
owes
qarzi bor, toʻlashi kerak
steeper
tikroq
crossing point
kesishish nuqtasi
notebook
daftar
textbook
darslik
shape of the thought
fikrning shakli
steady
barqaror, oʻzgarmas
equal
teng
distance
masofa

Qoida va formulalar

Matnda ishlatilgan matematik qoida.

whether she sells four hundred cups or none at all

koʻp sotsa ham, hech sotmasa ham — oʻzgarmas xarajat belgisi.

  • The rent is $90 whether the stall is busy or empty.

climbs by two with every cup

har bir piyolada ikkiga ortadi — bu qiyalik.

  • The cost climbs by $2 with every cup she makes.

the moment they are equal

ular tenglashgan lahza — ikki chiziqning kesishishi.

  • The question asks for the moment the two totals are equal.

Tekshirib koʻring

Matnni oʻqing, keyin hisoblang. Javobni bosib tekshiring.

1. Why does the second line always catch the first?

2. How much of each cup's price is left after the tea is paid for?

3. If the rent rose to $120 and nothing else changed, how many cups would she need to cover it?