Question

Jenny has saved $3,800 over the last 12 months. She saved either $250 or $350 a month. During the 12 month period, how many times did Jenny save $250 for the month?

Answer 1

Answer:

Jenny save 4 times $\ 250$ for the month

Step-by-step explanation:

Given Jenny has saved $\ 3,800$ over the last 12 months.

She saved either $\ 250$ or $\ 350$ a month.

Let the number of months to save $\ 250$ be x

Let the number of months to save $\ 350$ be y

Total period is 12 month.

$x+y=12 \ \ \ \ equation\ 1$

Jenny has saved $3,800 over the last 12 months.

$250x+350y=3800$

Dividing both side from 50 we get,

$\frac{250}{50}x+\frac{350}{50}y= \frac{3800}{50}$

$5x+7y=76 \ \ \ \ equation\ 2$

Now Multiplying  equation 1 by 5 we get,

$5\times(x+y)=5\times 12\\5x+5y=60\ \ \ \ equation \ 3$

Now Subtracting Equation 3 by equation 2 we get,

$(5x+7y=76)-(5x+5y=60)\\2y=16\\y=\frac{16}{2}= 8$

Substituting the value of y in equation 1 we get,

$x+y=12\\x+8=12\\x=12-8\\x=4$

∴ Jenny save 4 Months of  $\ 250$ and 8 Months of  $\ 350$in a 12 month duration

Answer 2

Answer:

4 times

Step-by-step explanation:

Let,

250 = x

350 = y

x + y = 12

250x + 350y = 3,800

Solve the system.

x = 4 and y = 8

Therefore, Jenny saved $250 for 4 months and $350 for 8 months.