MATHEMATICS MIDDLE SCHOOL

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?

Answers

Answer 1

Answer:

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,

$(250)/(50)x+(350)/(50)y= (3800)/(50)$

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

Now Multiplying equation 1 by 5 we get,

$5*(x+y)=5* 12\n5x+5y=60\ \ \ \ equation \ 3$

Now Subtracting Equation 3 by equation 2 we get,

$(5x+7y=76)-(5x+5y=60)\n2y=16\ny=(16)/(2)= 8$

Substituting the value of y in equation 1 we get,

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

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

Answer 2

Answer:

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.

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