This question above is incomplete
Complete Question
Jim had 103 red and blue marbles. After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles. How many blue marbles did he have originally?
Answer:
70 Blue marbles
Step-by-step explanation:
Let red marbles = R
Blue marbles = B
Step 1
Jim had 103 red and blue marbles.
R + B = 103.......Equation 1
R = 103 - B
Step 2
After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles
2/5 of B to Samantha
Jim has = B - 2/5B = 3/5B left
He also gave 15 red marbles to Samantha
= R - 15
The ratio of what Jim has left
= Red: Blue
= 3:7
= 3/7
Hence,
R - 15/(3/5)B = 3/7
Cross Multiply
7(R - 15) = 3(3/5B)
7R - 105 = 3(3B/5)
7R - 105 = 9B/5
Cross Multiply
5(7R - 105) = 9B
35R - 525 = 9B............ Equation 2
From Equation 1, we substitute 103 - B for R in Equation 2
35(103 - B) - 525 = 9B
3605 - 35B - 525 = 9B
Collect like terms
3605 - 525 = 9B + 35B
3080 = 44B
B = 3080/44
B = 70
Therefore, Jim originally had 70 Blue marbles.
Answer:
$430
Step-by-step explanation:
According to current overtime pay laws, every hour worked over 40 weekly hours must be paid at a rate of 1.5 times the regular hourly rate. Jason Gomi has worked 2 hours of overtime, his gross wages for the week are:
Jason's gross wages for the week are $430.
Answer:7,560cm
Step-by-step explanation: Area is found by multiplying each side by each other. 7 x 6 x 12 x 15=7560
7 x 6=42
12 x 15=180
180 x 42=7560
Answer:
A Venn Diagram probably?
Step-by-step explanation:
A venn diagram would allow you to show the similarities and differences, because the inside of the circle would let you have the differences that only exist for that story, and then when the circle collides with another circle is where you can put the similarities to other circles.
There is even a venn diagram for 3 things, which would allow you to use the three stories.
