Andrew S
Stunt Coordinator
- Joined
- Sep 30, 2001
- Messages
- 214
Just so you guys know, I've already done like 20 questions... so it's not like you're DOING my homework for me... I just need help with two questions.
We're supposed to solve these word problems through elimination or subsitution.
#1. At a silversmith's shop, they have alloys that contain 40% silver and othets that are 50% silver. A custom order for a breacelet requires 150 grams of 44% silver. How much of each alloy should be melted together to make the bracelet?
My two equations were:
.4a + .5b = .44
a + b = 150
"a" means amount of 40% silver alloy
"b" means amount of 50% silver alloy
The answer in the back of the book is 90 g of 40% and 60 g of 50%, which sounds correct, but doesn't work when I subsititute it into my first equation, so I figure there's something wrong with my first equation.
#2. During a training exercise, a submarine travles 16km/h on the surface, but it only goes 10 km/h underwater. If the submarine traveled a distance of 160 km in 12.5 hours, how long was it underwater.
My equations were:
10a + 16b = 160km
a + b = 12.5 hours
So I changed the second equation to be b = 12.5 - a and then substituted that into the first equation to be:
"a" refers to time spent underwater
"b" refers to time spent above water
10a + 16(12.5 - a) = 160
10a + 200 - 16a = 160
-4a = 160 - 200
-4a = -40
-4a/-4 = -40/-4
a = 10
Then I subsituted the 10 into both equations:
First Equation:
10(10) + 16b = 160
100 + 16b = 160
16b = 160 - 100
16b = 60
16b/16 = 60/16
b = 3.75
Second Equation:
10 + b = 12.5
b = 12.5 - 10
b = 2.5
So as you can see, it doesn't work out. If it helps, the answer in the back of the book is 6 hours and 40 minutes (for how long the submarine was underwater)
I'll count myself lucky if anyone responds to this, so any help would be appreciated..
Thanks for helping out a confused grade 10.
Andrew
We're supposed to solve these word problems through elimination or subsitution.
#1. At a silversmith's shop, they have alloys that contain 40% silver and othets that are 50% silver. A custom order for a breacelet requires 150 grams of 44% silver. How much of each alloy should be melted together to make the bracelet?
My two equations were:
.4a + .5b = .44
a + b = 150
"a" means amount of 40% silver alloy
"b" means amount of 50% silver alloy
The answer in the back of the book is 90 g of 40% and 60 g of 50%, which sounds correct, but doesn't work when I subsititute it into my first equation, so I figure there's something wrong with my first equation.
#2. During a training exercise, a submarine travles 16km/h on the surface, but it only goes 10 km/h underwater. If the submarine traveled a distance of 160 km in 12.5 hours, how long was it underwater.
My equations were:
10a + 16b = 160km
a + b = 12.5 hours
So I changed the second equation to be b = 12.5 - a and then substituted that into the first equation to be:
"a" refers to time spent underwater
"b" refers to time spent above water
10a + 16(12.5 - a) = 160
10a + 200 - 16a = 160
-4a = 160 - 200
-4a = -40
-4a/-4 = -40/-4
a = 10
Then I subsituted the 10 into both equations:
First Equation:
10(10) + 16b = 160
100 + 16b = 160
16b = 160 - 100
16b = 60
16b/16 = 60/16
b = 3.75
Second Equation:
10 + b = 12.5
b = 12.5 - 10
b = 2.5
So as you can see, it doesn't work out. If it helps, the answer in the back of the book is 6 hours and 40 minutes (for how long the submarine was underwater)
I'll count myself lucky if anyone responds to this, so any help would be appreciated..
Thanks for helping out a confused grade 10.
Andrew