Answer:
112 mg of 18-karat gold and 238 mg of 14-karat gold
Step-by-step explanation:
Let's call m1 the mass of 18-karat gold, and m2 the mass of 12-karat gold. They will be used to form 350 mg of 14-karat gold, so:
m1 + m2 = 350
m2 = 350 - m1 (equation 1)
For a mass balance of gold, the gold in 18-karat gold(75% of m1) plus the gold in 12-karat gold (50% of m2) must be equal to the gold in the 14-karat gold (58% of 350):
0.75m1 + 0.50m2 = 0.58x350
0.75m1 + 0.50m2 = 203
Replacing equation 1:
0.75m1 + 0.50x(350 - m1) = 203
0.75m1 + 175 - 0.5m1 = 203
0.25m1 = 28
m1 = 112 mg of 18-karat gold
m2 = 350 - 112
m2 = 238 mg of 14-karat gold
There were 1 7/24 cups of soup in the can.
Hope that helped =)
Ask someone lol l it b or c or a
Use ratios:
Grams:Total SF: 100 divided by 25 = 4
NICKEL=
9 grams: 25grams = 36% : 100%
Multiply 9grams of nickel by 4 (the scale facotr) to get the percentage of nickel in the coin
COPPER=
16 grams: 25grams = 64% :100%
Multiply 16 grams of copper by 4 (the scale factor) to get the percentage of copper in the coin
ANSWER: 26% of nickel and 64% of copper is in a coin
Let
x = number of tickets
y = cost
For each row, divide the cost over the number of tickets
Row one: y/x = 3/2 = 1.5
Row two: y/x = 6/4 = 1.5
Row three: y/x = 9/6 = 1.5
Row four: y/x = 12/8 = 1.5
Row five: y/x = 15/10 = 1.5
The constant of proportionality is 1.5
This means each ticket costs $1.50