Question

Priya buys fruit from a market. She buys 5 oranges, 3 apples, 2 bananas, and some pears. If she spent £4.10, how many pears did she buy? Oranges 45p each Apples 30p each Bananas 25p each Pears 15p each pears

Answer 1

Answer:

Let the Pears purchased by priya be n.

Total Money Spent by Priya = Rs 4.10

$\begin{tabular}{|c|c|c|}\cline{1-3}\bf Fruit&\bf Price&\bf Amount\\\cline{1-3}\sf Orange &\sf 45p&\sf 5\\\cline{1-3}\sf Apple&\sf 30p&\sf 3\\\cline{1-3}\sf Banana &\sf 25p&\sf 2\\\cline{1-3}\sf Pear&\sf 15p&\sf n\\\cline{1-3}\end{tabular}$

$\rule{120}{0.9}$

☯ $\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$:\implies\sf Orange+Apple+Banana+Pear=Total\\\\{\scriptsize\qquad\bf{\dag}\:\:\tt{Total = Rate \times Number\: Purchased}}$

$\\:\implies\sf (45p \times 5)+(30p \times 3)+(25p \times 2)+(15p \times n)=Rs\:4.10\\\\\\:\implies\sf 225p + 90p + 50p + (15p \times n) = (4 \times 100 + 10)p$

$\\:\implies\sf 335p + (15p \times n) = 410p\\\\\\:\implies\sf (15p \times n) = 410p - 335p\\\\\\:\implies\sf (15p \times n) = 75p\\\\\\:\implies\sf n = \dfrac{75p}{15p} \\\\\\:\implies\underline{\boxed{\sf n = 5}} \qquad\bigg\lgroup\bf Pears\:Purchased\bigg\rgroup$

⠀

$\therefore\:\underline{\textsf{Hence, Priya will buy \textbf{5 pears}}}.$