Question

hayley borrowed $1854 from her parents.She agreed to repay them in equal installments over the next 18 months.How much will Hayley still owe her parents after a year?

Answer 1

Hayley will still owe her parents $\boxed{\bold{\ 618}}$after a year

Further explanation

The division operation is one of the basic arithmetic operations

Common signs used are $\large{\boxed{:}}}$ or $\large{\boxed{\slash}}$

The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel

The division is actually an iterative subtraction operation (as many as the number of divisors)

Division is the opposite of multiplying

The general form of division can be stated by:

$\large{\boxed{\bold{divident:divisor=quotient+remainder}}$

example:

7: 3 = 2 + 1

7 = dividend

3 = divisor

2 = quotient

1 = remainder

Division operation statement:

"7 divided by 3 equals 2 remainder 1"

The form of division can also be expressed in terms of fractions

In the example above, the form of mixed fractions  is

$\displaystyle \frac{7}{3} =2\frac{1}{3}$

Mixed fractions consist of whole number and proper fractions

From the task

• Hayley borrowed $1854
• She repay them in equal installments over the next 18 months.

we translate this sentence into division operation :

$\ 1854\div18=\ 103/\:each\:month$

So for each month , Hayley will pay $103

After 1 year Hayley has paid in installments as much :

$12\:month(=1\:year)\times\ 103=\ 1236$

so Hayley still owes her parents :

$\ 1854-\ 1236=\boxed{\bold{\ 618}}$

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Keywords: division, equal installments,  borrowed, owe

Answer 2

From the information given, she owes her parents a total of $1854.

She will take a period of 18 months to repay the whole loan.

We first find out the how much is each installment per month. 

We divide the whole amount by 18 months so 1854/18 = $103

If she pays 103 dollars per month, then at one year (12 months) she would have paid:  103 × 12 = 1,236 dollars.

She would owe 1854 - 1236 =  618

There she would still be owing her parents  $ 618  after one year.