A chemist has x grams of an alloy that is 20% silver and 10% gold, and y grams of an alloy that is 25% silver and 30% gold. Express the number of grams of gold in the two allows in terms of x and y.
the amount of gold in each alloy is the %age times the total mass:
.10x + .30y
To express the number of grams of gold in the two alloys in terms of x and y, we'll need to calculate the amount of gold in each alloy separately.
For the first alloy, which contains x grams, we know that it is 10% gold. Therefore, the amount of gold in the first alloy can be calculated as:
Gold in the first alloy = 10% of x
Gold in the first alloy = (10/100) * x
Gold in the first alloy = 0.1x
For the second alloy, which contains y grams, we know that it is 30% gold. Therefore, the amount of gold in the second alloy can be calculated as:
Gold in the second alloy = 30% of y
Gold in the second alloy = (30/100) * y
Gold in the second alloy = 0.3y
So, the number of grams of gold in the two alloys can be expressed as 0.1x + 0.3y.