Math

QuestionFind the exchange rate for HKD 2000 to CNY 1580 and how much CNY for HKD 1200. Also, calculate words typed by Amy in 8 mins and time for an article.

Studdy Solution

STEP 1

Assumptions1. Mark exchanged HK2000 for CNY1580. The exchange rate is constant3. Amy types at a speed of72 words per minute4. The typing speed is constant

STEP 2

We first need to find the exchange rate in CNY/HKD. We can do this by dividing the amount of CNY received by the amount of HK exchanged.
Exchangerate=CNYreceivedHKexchangedExchange\, rate = \frac{CNY\, received}{HK\, exchanged}

STEP 3

Now, plug in the given values for the CNY received and HK exchanged to calculate the exchange rate.
Exchangerate=15802000Exchange\, rate = \frac{1580}{2000}

STEP 4

Calculate the exchange rate.
Exchangerate=15802000=0.79Exchange\, rate = \frac{1580}{2000} =0.79

STEP 5

Now that we have the exchange rate, we can find out how much CNY Mark can get with HK1200. We can do this by multiplying the amount of HK with the exchange rate.
CNY=HKtimesExchangerateCNY = HK \\times Exchange\, rate

STEP 6

Plug in the values for the HK and the exchange rate to calculate the CNY.
CNY=1200times0.79CNY =1200 \\times0.79

STEP 7

Calculate the amount of CNY.
CNY=1200times0.79=948CNY =1200 \\times0.79 =948

STEP 8

Now, we need to find out how many words Amy can type in8 minutes. We can do this by multiplying her typing speed by the time.
Words=TypingspeedtimesTimeWords = Typing\, speed \\times Time

STEP 9

Plug in the values for the typing speed and the time to calculate the number of words.
Words=72times8Words =72 \\times8

STEP 10

Calculate the number of words.
Words=72times8=576Words =72 \\times8 =576

STEP 11

Now, we need to find out the time required for Amy to type an article with a certain number of words. We can do this by dividing the number of words by her typing speed.
Time=NumberofwordsTypingspeedTime = \frac{Number\, of\, words}{Typing\, speed}Note The number of words in the article is not given in the problem. We will need this information to proceed.

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