(a) Adult football tickets cost \$x; child tickets cost \$(x−2.50). 18 500 adults and2400 children pay \$320 040 in total. Find the adult price. [4]

(b(i)) Factorise \(y^2+5y-84\). [2]

(b(ii)) The rectangle’s area is84 cm². Find its perimeter. [3]

Monthly magazines cost \$m and weekly magazines \$(m−0.75). The shop receives \$168 from monthly and\$207 from weekly magazines;100 magazines are sold.

(c(i)) Show \(50m^2-225m+63=0\). [3]

(c(ii)) Find the monthly price, showing working. [3]