Catholic High 2025 P6 Maths Prelim — Paper 1 Booklet A Q12 Solution

Paper 1 Booklet A · Q12 · 2 marks · Fractions and Decimals

Question

Alex and Ben had \$190 altogether at first. After Alex gave Ben \$30, Alex had \$40 more than Ben. How much did Ben have at first?

Answer: 1

$\text{Let Ben have } \$b\text{; Alex had } \$(190 - b)$
$\text{After Alex gives Ben } \$30: \text{Alex} = 160 - b,\ \text{Ben} = b + 30$
$\text{Alex has } \$40 \text{ more}: (160 - b) - (b + 30) = 40$
$130 - 2b = 40$
$2b = 90$
$b = 45$

This is one question from the Catholic High 2025 P6 prelim. Practise the full paper online — every question marked instantly, with worked solutions.