Katie and Pamela put some money into their money boxes every week. The amounts of money (y), in dollars, in their money boxes after certain amounts of time (x), in weeks, are shown by the equations below:
Katie
y = 30x + 20
Pamela
y = 20x + 90
After how many weeks will Katie and Pamela have the same amount of money in their money boxes, and what will that amount be?
A. 6 weeks, $150
B. 6 weeks, $230
C. 7 weeks, $150
D. 7 weeks, $230

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- welshfella

this will be when the value of y is the same for both equations
so we can say
30x + 20 = 20x + 90
solve for x

- anonymous

70

- welshfella

30 - 20x = 90 - 20
10x = 70
x = ?

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## More answers

- anonymous

7

- welshfella

right
and how can you work out the amount of money after the 7 weeks

- welshfella

remember y = 2x + 90 is the amount of money saved in x weels
so for 7 weeks y = ?

- anonymous

how do i do the money part?

- welshfella

just replace the x in 20x + 90 and work it out
20*7 + 90 = ?

- welshfella

* replace the x by 7

- anonymous

$230

- welshfella

yes

- welshfella

D is the correct option

- anonymous

thanks

- welshfella

yw

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