While shopping, Jill spent six times as much as Nan. If they spent a total of $112, how much did...

Question:

While shopping, Jill spent six times as much as Nan. If they spent a total of $112, how much did each person spend?

Algebraic Expression:

An algebraic expression is an expression which is written with putting constants, variables with algebraic operations, like - addition, subtraction, multiplication, division, exponents, etc, together and expressing a mathematical problem.

For example: If cost of one pen is x dollars and the cost of one pencil is y dollars, then the cost of 3 pens and 7 pencils can be given 3x+7y.

Answer and Explanation:

{eq}\text{Let Nan spends}\; x \ dollars\\ \text{As question says, Jill spent six times as much as Nan,}\\ \text{So, the amount spent by Jill will be}\; 6x\\ \text{Also, from the question total amount spent}\;=\;$112\\ \text{Therefore,}\;x\;+\;6x\;=\;$112\\ or:\;7x\;=$112\\ or:\;x\;=\;$16\\ \text{so, the amount spent by Nan}\;=\;x\;=\;$16\\ \text{And the amount spent by Jill}\;=\;6x\;=\;6 \times \$16\;=\;$96\\ {/eq}