A soft drink costs $1.65, and each refill for the drink costs 0.95. If you have $4.50, how many refills can you purchase?

Question

A soft drink costs $1.65, and each refill for the drink costs 0.95. If you have $4.50, how many refills can you purchase?

1 Answer

Impact of this question

8059 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-11T20:55:00

There are 3 refills

Explanation:

$The trick with algebra is to aske yourself: how would I do this with just numbers.$ $color(purple)("The trick with algebra is to aske yourself: how would I do this with just numbers.")$ $Then put in letters for the unknown values.$ $color(purple)("Then put in letters for the unknown values.")$

$initial cost + total refill cost = total cost$ $color(green)("initial cost + total refill cost = total cost")$

$Let the count of refills be r$ $color(purple)("Let the count of refills be "r)$
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$\Rightarrow $ 1.65 + r $ 0.95 = $ 4.50$ $=> color(brown)($1.65+r$0.95=$4.50)$

Dropping the dollar sign and subtracting $1.65$ $color(blue)(1.65)$ from both sides we have:

$1.65 - 1.65 + r 0.95 = 4.50 - 1.65$ $color(brown)(1.65color(blue)(-1.65)+r0.95=4.50color(blue)(-1.65))$

$0 + r 0.95 = 2.85$ $0+r0.95= 2.85$

Divide both sides by 0.95

$r \times \frac{0.95}{0.95} = \frac{2.85}{0.95}$ $rxx0.95/0.95=2.85/0.95$

But $\frac{0.95}{0.95} = 1$ $0.95/0.95=1$ giving

$r = \frac{2.85}{0.95} = 3$ $r=2.85/0.95=3$

So there are 3 refills

Science

Math

Humanities

... and beyond

A soft drink costs $1.65, and each refill for the drink costs 0.95. If you have $4.50, how many refills can you purchase?

1 Answer

Explanation:

Related questions

Impact of this question