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patriot [66]
3 years ago
6

Jim has $310 in his savings account and adds $4 per week. At the same time, Rhonda has $260 in her savings account and adds $9 p

er week. (a) How long will it take for Rhonda to have the same amount as Jim? Weeks (b) How much will each have?
Mathematics
1 answer:
Talja [164]3 years ago
7 0

Answer:

a) After 10 weeks Jim and Rhonda will have the same amount.

b) They both would have $350 in their account after 10 weeks.

Step-by-step explanation:

Given:

Amount Jim has = $310

Amount Jim adds per week = $4

Let the number of weeks be 'x'.

So we can say that;

Total amount Jim will have after 'x' week will be equal to amount Jim has plus amount Jim adds per week multiplied by number of weeks.

framing in equation form we get;

Total amount Jim will have after 'x' week = 310+4x

Also Given:

Amount Rhonda has = $260

Amount Rhonda adds per week = $9

So we can say that;

Total amount Rhonda will have after 'x' week will be equal to amount Rhonda has plus amount Rhonda adds per week multiplied by number of weeks.

framing in equation form we get;

Total amount Rhonda will have after 'x' week = 260+9x

a) We need to find the number of weeks in which the both will have same amount;

Now to find number of weeks in which the both bill have same amount;

we have to make both the equation equal and solve the same we get;

310+4x =260+9x

Combining the like terms we get;

9x-4x=310-260\\\\5x=50

Now using Division property of equality we will divide both side by 5 we get;

\frac{5x}{5}=\frac{50}{5}\\ \\x =10

Hence After 10 weeks Jim and Rhonda will have the same amount.

b) We have to find amount they would have after 10 weeks.

To find the same we will substitute value of 10 in each equation we get;

Total amount Jim will have after '10' weeks = 310+4x = 310+4\times10 =310 +40 =\$350

Total amount Rhonda will have after '10' weeks = 260+9x = 260+9\times 10 =260+90 =\$350

Hence They both would have $350 in their account after 10 weeks.

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Angela and Michelle shared some money in the ratio 4: 9 then Angela gave Daniel half her share.Michelle gave Daniel a third of h
SVEN [57.7K]

Using a system of equations, it is found that £52 was originally shared.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: Angela's share.
  • Variable y: Michelle's share.
  • Variable z: Daniel's share.

Angela and Michelle shared some money in the ratio 4: 9, hence, considering t as the total:

  • x = \frac{4t}{13}.
  • y = \frac{9t}{13}

Angela gave Daniel half her share.Michelle gave Daniel a third of her share. Daniel was given a total of £20, hence:

\frac{x}{2} + \frac{y}{3} = 20

\frac{4t}{26} + \frac{9t}{39} = 20

\frac{12t + 18t}{78} = 20

30t = 20 x 78

t = 20 x 78/30

t = £52.

More can be learned about a system of equations at brainly.com/question/24342899

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5 0
2 years ago
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