Question

at Alan's sports shop, GO FAST trainers cost £40.95 originally and there is a third off in the sale.  At  Irene's sport shop, GO FAST trainers cost £40.00 originally and there is a discount of 30% in the sale. Which trainers cost less in the sales?

Answer 1

The trainers will be cheaper at Alan's sport shop.

prices ->
Alan's: 27.30
Irene's: 28.00

$\frac{1}{3}$ of 40.95 can be calculated as follows ->

$\frac{1}{3}$ = $\frac{x}{40.95}$
simplify to get that x = 27.30

30% of 40.00 can be calculated as follows ->

$\frac{30}{100}$ = $\frac{x}{40.00}$
simplify to get that x = 28

Answer 2

$at\ Alan's\ sports\ shop:\\\£40.95- \frac{1}{3} \cdot\£40.95= \frac{2}{3} \cdot\£40.95=\£27.30\\ \\At\ Irene's\ sport\ shop:\\\£40.00-30\%\cdot \£40.00=70\%\cdot \£40.00=0.70\cdot \£40.00=\£28.00\\ \\Ans.\ Less\ cost\ is\ at\ Alan's\ sports\ shop.$