Jaclyn has $120 saved and earns $40 each month in allowance. Pedro has $180 saved and earns $20 a month in allowance. If they bo
th save their entire allowances, how long will it take before Jaclyn and Pedro have saved the same amount of money?
1 answer:
First, let's make an equation as to how to find how much money they have altogether:
(M stands for the # of month)
Jaclyn: 120 + 40m
Pedro: 180 + 20m
So let's plug-in 1 for m (1 will stand for 1 month)
Jaclyn: 120 + 40 * 1 = 160
Pedro: 180 + 20 * 1 = 200
I made a table depicting how much they'll make for the next 5 months (attached below). According to that, on month 3, they will have made the same amount of money (or $240).
So they will have the same amount of money in 3 months. Hope this helps! :)
(M stands for the # of month)
Jaclyn: 120 + 40m
Pedro: 180 + 20m
So let's plug-in 1 for m (1 will stand for 1 month)
Jaclyn: 120 + 40 * 1 = 160
Pedro: 180 + 20 * 1 = 200
I made a table depicting how much they'll make for the next 5 months (attached below). According to that, on month 3, they will have made the same amount of money (or $240).
So they will have the same amount of money in 3 months. Hope this helps! :)
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Answer:
I) f + g = 10/3
II) 4f + 2g = 20/3
III) f = 2 and g = 4/3
Step-by-step explanation:
From the chart,
P = 25
q = 40
The total number of one centimeter lines in the first n diagrams is given by the expression
2/3n^3 + fn^2 + gn.
When n = 1, the total number of line = 4. So,
2/3(1)^3 + f(1)^2 + g(1) = 4
2/3 + f + g = 4
Make f+g the subject of formula
f + g = 4 - 2/3
f + g = (12 - 2)/3
f + g = 10/3 ......(1)
When n = 2
Total number of line = 12
2/3(2)^3 + f(2)^2 + g(2) = 12
2/3×8 + 4f + 2g = 12
16/3 + 4f + 2g = 12
4f + 2g = 12 - 16/3
4f + 2g = (36 - 16)/3
4f + 2g = 20/3 ......(2)
(iii) To find the values of f and g, solve equation 1 and 2 simultaneously
f + g = 10/3 × 2
4f + 2g = 32/3
2f + 2g = 20/3
4f + 2g = 32/3
- 2f = - 12/3
f = 12/6
f = 2
Substitutes f in equation 1
f + g = 10/3
2 + g = 10/3
g = 10/3 - 2
g = (10 - 6)/3
g = 4/3
