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an alloy consists of steel gold and brass in the ratio 5:3:7 determine the amount of each metal in 150g of the alloy

2 Answers

4 votes

Answer:

Step-by-step explanation

  1. 150g of the alloy contains a certain amount of steel,gold and brass. We thus find the total ratio of steel,gold and brass which will be equal to 15 {5 + 3 + 7}
  2. If 15 which is the total ratio is equal to 150, what about 5 which is the ratio of steel?

15=150g 5 * 150g/15[we cross multiply

5=? get 5 times 150 multiply by 15

to get 50g of steel.

15=150g 3*150g/15 to get 30g of gold.

3=?

15=150g 7*150g/15 to get 70g of bras.

7=?

  1. To confirm the answer, we take 50g of steel + 30g of gold + 70g of brass to get 150g of alloy.

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User Alejandro Haro
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4 votes

Answer: 50g steel, 30g gold and 70g brass

Explanation:

This means for every 5g of steel there is 3g of gold and 7g of brass. We will find how many g there are total for every 5g of steel.

5 + 3 + 7 = 15

Next, we will divide 150g by 15g to see how many times the ratio will "repeat" to create the 150g of alloy.

150g / 15g = 10g

Next, we will multiply each amount of metal in one ratio by 10.

5g * 10 = 50g steel

3g * 10 = 30g gold

7g * 10 = 70g brass

User Peggy
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