Answer: 490 grams of the first alloy should be used.
30 grams of the second alloy should be used.
Step-by-step explanation:
Let x represent the weight of the first alloy in grams that should be used.
Let y represent the weight of the second alloy in grams that should be used.
A chemist has two alloys, one of which is 15% gold and 20% lead. This means that the amount of gold and lead in the first alloy is
0.15x and 0.2x
The second alloy contains 30% gold and 50% lead. This means that the amount of gold and lead in the second alloy is
0.3y and 0.5y
If the alloy to be made contains 82.5 g of gold, it means that
0.15x + 0.3y = 82.5 - - - - - - - - - - - -1
The second alloy would also contain 113 g of lead. This means that
0.2x + 0.5y = 113 - - - - - - - - - - - - -2
Multiplying equation 1 by 0.2 and equation 2 by 0.15, it becomes
0.03x + 0.06y = 16.5
0.03x + 0.075y = 16.95
Subtracting, it becomes
- 0.015y = - 0.45
y = - 0.45/- 0.015
y = 30
Substituting y = 30 into equation 1, it becomes
0.15x + 0.3 × 30 = 82.5
0.15x + 9 = 82.5
0.15x = 82.5 - 9 = 73.5
x = 73.5/0.15
x = 490
Answer:
5:9
Step-by-step explanation:
It's just a way to set up ratios. Whichever number is said first gets put down first, then the number after gets put after.
So, 5:9
Or, you could write it as 5 footballs to 9 baseballs.
This is just my simple understanding of what you're asking since you asked what the ratio is.
Hope I helped!
Answer:
5
Step-by-step explanation:
Answer:
1) 80% 2)25%
Step-by-step explanation:
1)80% of $2.50 = $4.50
2)25% of $9 = $2.25
9 - 2.25 = $6.75
t = 3
Simple interest will be derived by multiplying the principal, the interest rate, and the term.
Interest = Principal x Rate x Term
Interest = 105
Principal = 700
Rate = 0.05
Term = ?
Based on the Simple Interest formula,
term = Interest / principal x rate
term = 105 / (700 x 0.05)
term = 105 / 35
term = 3
