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Long used 25.5 pounds of tomatoes to make a large batch of salsa. He used one tenth as many pounds of onions as pounds of tomatoes. He used one hundredth as many pounds of green peppers as pounds of tomatoes. How many pounds of each ingredient did Liang use?​

Respuesta :

Answer:

  • 25.5 pounds of tomatoes
  • 2.55 pounds of onions
  • 0.255 pounds of green peppers

Step-by-step explanation:

Onions = (1/10) · tomatoes = 1/10 · 25.5 pounds = 2.55 pounds

Peppers = (1/100) · tomatoes = 1/100 · 25.5 pounds = 0.255 pounds

Liang used 25.5 pounds of tomatoes (given) and 2.55 pounds on onions and 0.255 pounds of green peppers.

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Comment on the math

This problem seems designed to see if you understand place value. When digits are moved to the right relative to the decimal point (or the decimal point is moved to the left relative to the digits), the value of the number decreases by a factor of 10 for each place the decimal point moves.

Moving the decimal point in 25.5 one place to the left makes 2.55, which has 1/10 the value of 25.5.

Likewise, moving the decimal point another place to the left makes 0.255, which has 1/10 the value of 2.55 and 1/100 the value of 25.5.

If you are challenged by this math, you can make use of any calculator to multiply by 1/10 or divide by 10 as you may wish.

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