Chloe and denise bought a identical t-shirts from the same shop. Chloe bought on monday when there was a 15% off the original price. Denise bought on froday when there was 20% off the original price. chloe paid 35p more than denise. What was the original price?

The original price was 7.

Chloe got a 15% discount; this means she paid 100-15 = 85% of the price. Letting x be the price, Chloe paid 0.85x.

Denise got a 20% discount; this means she paid 100-20 = 80% of the price. Denise paid 0.8x.

We know that Chloe paid 35p more; this gives us the equation

0.85x = 0.8x + 0.35

We do not want a variable on both sides, so we subtract 0.8x from both:

0.85x - 0.8x = 0.8x + 0.35 - 0.8x

0.05x = 0.35

Divide both sides by 0.05:

0.05x/0.05 = 0.35/0.05

x = 7