The alloy contains 34% tin. How many grams of tin is in 240 g of the alloy?
The alloy contains 34% tin. How many grams of tin is in 240 g of the alloy? What is the weight of the alloy containing 85 g of tin?
1) Let’s designate the mass of the entire alloy as 100%. The mass of the alloy is 240 g, the tin in it is 34%.
Let’s make a short note:
240 g – 100%,
x g – 34%.
The equation turns out: 240 / x = 100/34.
According to the rule of proportion: 100x = 240 * 34.
100x = 8160;
x = 8160/100 = 81.60 (g) tin.
Answer: an alloy weighing 240 g contains 81.6 g of tin.
2) Let’s designate the mass of the entire alloy as 100%. The mass of tin in the alloy is 85 g, which is 34%.
Let’s make a short note:
x g – 100%,
85 g – 34%.
The equation turns out: x / 85 = 100/34.
According to the rule of proportion: 34x = 85 * 100.
34x = 8500;
x = 8500/34 = 250 (g) mass of the alloy.
Answer: The mass of an alloy containing 85 g of tin is 250 g.