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Joe has $200 in his savings account and is depositing $50 per month. Kathy has $50 in her account and is depositing $75 per month. In how many months will they have the same amount of money? Please show work

Answer :

absor201 absor201

Today at 11:05 AM

In 6 months, they will have same amount of money.

Step-by-step explanation:

Let,

x be the number of months

Given,

Joe's savings = $200

Per month deposit = $50

J(x)=200+50x Eqn 1

Kathy savings = $50

Per month deposit = $75

K(x)=50+75x Eqn 2

For same amount;

J(x)=K(x)

[tex]200+50x=50+75x\\50x-75x=50-200\\-25x=-150[/tex]

Dividing both sides by -25;

[tex]\frac{-25x}{-25}=\frac{-150}{-25}\\x=6[/tex]

In 6 months, they will have same amount of money.

Keywords: functions, division

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