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17 votes
3 Chiang Heng went to a store with $235. A water bottle cost $33, a keyboard cost $34 and a dictionary cost $35. Chiang Heng spent all of his money to buy seven items. How many of each item did he buy?​

User Matisse VerDuyn
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2 Answers

19 votes
19 votes

Final answer:

Chiang Heng bought 2 water bottles, 3 keyboards, and 2 dictionaries.

Step-by-step explanation:

To find out how many of each item Chiang Heng bought, we can set up an equation.

Let's say he bought x water bottles, y keyboards, and z dictionaries.

From the given information, we know that:

  1. x + y + z = 7 (he bought a total of 7 items)
  2. 33x + 34y + 35z = 235 (the total cost of his purchases was $235)

Solving these two equations will give us the values of x, y, and z, which represent the number of each item he bought.

By substituting values in the equation, we can find that Chiang Heng bought 2 water bottles, 3 keyboards, and 2 dictionaries.

User Chrixian
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2.8k points
19 votes
19 votes

Since Chiang Heng spent all of his money to buy seven items, the number of each item that he purchased is 19 items.

Since the total amount of money that Chiang Heng took to the store was $235 and he purchased a water bottle for $33, a keyboard for $34 and a dictionary for $35, the total amount of money that he has left after purchasing this three (3) items is given by;

Total amount of money left = Total amount of money - Total cost of three items

Total amount of money left = $235 - ($33 + $34 + $35)

Total amount of money left = $235 - $102

Total amount of money left = $133

Since Chiang Heng spent all of the money he has left to buy seven items, the number of each item that he purchased can be determined by dividing the total amount of money left by the number of items;

Number of items = Total amount of money left/7

Number of items = $133/7

Number of items = 19 items.

User Fedor Gogolev
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