Selling pens
A shop sells pencils at 3 for 45p and pens at 2 for 70p. Sam buys 12 pencils and some pens, and spends £3.90 in total. How many pens does Sam buy?
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Step 1: Find the price of one pencil.
ReplyDelete3 pencils cost 45p, so 1 pencil costs 45p ÷ 3 = 15p.
Step 2: Find the cost of 12 pencils.
12 × 15p = 180p (£1.80).
Step 3: Work out how much was spent on pens.
Sam spent £3.90 = 390p in total.
390p − 180p = 210p (£2.10) on pens.
Step 4: Find the price of one pen.
2 pens cost 70p, so 1 pen costs 70p ÷ 2 = 35p.
Step 5: Work out how many pens.
210p ÷ 35p = 6 pens.
Check: 180p + (6 × 35p) = 180p + 210p = 390p = £3.90 ✓