Answer:
200 grams
Step-by-step explanation:
Let us represent
The number of grams of
30% smarties = x
20% smarties = y
Hence:
x + y = 500
x = 500 - y
Hence:
30% × x + 20% × y = 24% × 500
0.3x + 0.2y = 120
Substitute 500 - y for x
Hence:
0.3(500 - y) + 0.2y = 120
150 - 0.3y + 0.2y = 120
Collect like terms
- 0.3y + 0.2y = 120 - 150
- 0.1y = -30
y = -30/0.1
y = 300
Solving for x
x = 500 - y
x = 500 - 300
x = 200
Hence,
The number of grams of
30% smarties = x = 200 grams
20% smarties = y = 300 grams
Therefore:
the mass of the 30% mix is required to make a 500 gram mixture that will have 24% Smarties by mass is 200 grams
Answer: 5 + 11n = 13n
Explanation:
1) Cost of n visits for a student that is a member
a) Frequent visitor program fee: $5
b) cost of n tickets at $11 each: $11n
c) total cost: $5 + $11n
2) Cost of n visits for a non-member student
a) $13n
3) Equal cost condition:
5 + 11n = 13n ← answer
That is the equation requested, which you can solve to find the number of visits for which the costs are equal:
5 = 13n - 11n
5 = 2n
5/2 = n
2.5 = n
Therefore, 3 visits in a year justifiy the cost of being a member.
your answer would be D.24
<u>Answer- </u>Wendy spent 3 hours on the train
<u>Solution-</u>
The distance between the cities= 500 mi.
She traveled part of the way by bus, and other part by train.
The bus averaged 40 mph, and the train averaged 120 mph.
The entire trip took 6.5 hours.
let d = distance traveled by train
the total distance was given as 500 mi ,
therefore, distance traveled by bus = (500-d) mi
time = distance/speed
⇒ train traveling time + bus traveling time = 6.5 hrs
⇒
⇒ d + 3(500-d) = 120(6.5)
⇒ d + 1500 - 3d = 780
⇒ 2d = 720
⇒ d = 360 mi
so d = 360 mi by train
⇒ 360/120 = 3 hrs on the train