Answer :
Sure, let's solve the problem step-by-step:
First, we need to find the cost of one sticker. Ben bought 21 football stickers for a total cost of 84 pence. To find the cost of one sticker, we divide the total cost by the number of stickers.
So, cost per sticker:
[tex]\[ \text{cost per sticker} = \frac{84 \text{ pence}}{21 \text{ stickers}} = 4 \text{ pence per sticker} \][/tex]
Now that we know the cost per sticker is 4 pence, we can calculate the cost for any number of stickers by simply multiplying this cost by the required number of stickers.
(a) Cost of 7 stickers:
[tex]\[ 7 \text{ stickers} \times 4 \text{ pence per sticker} = 28 \text{ pence} \][/tex]
(b) Cost of 12 stickers:
[tex]\[ 12 \text{ stickers} \times 4 \text{ pence per sticker} = 48 \text{ pence} \][/tex]
(c) Cost of 50 stickers:
[tex]\[ 50 \text{ stickers} \times 4 \text{ pence per sticker} = 200 \text{ pence} \][/tex]
So, the costs are:
- (a) 7 stickers cost 28 pence.
- (b) 12 stickers cost 48 pence.
- (c) 50 stickers cost 200 pence.
First, we need to find the cost of one sticker. Ben bought 21 football stickers for a total cost of 84 pence. To find the cost of one sticker, we divide the total cost by the number of stickers.
So, cost per sticker:
[tex]\[ \text{cost per sticker} = \frac{84 \text{ pence}}{21 \text{ stickers}} = 4 \text{ pence per sticker} \][/tex]
Now that we know the cost per sticker is 4 pence, we can calculate the cost for any number of stickers by simply multiplying this cost by the required number of stickers.
(a) Cost of 7 stickers:
[tex]\[ 7 \text{ stickers} \times 4 \text{ pence per sticker} = 28 \text{ pence} \][/tex]
(b) Cost of 12 stickers:
[tex]\[ 12 \text{ stickers} \times 4 \text{ pence per sticker} = 48 \text{ pence} \][/tex]
(c) Cost of 50 stickers:
[tex]\[ 50 \text{ stickers} \times 4 \text{ pence per sticker} = 200 \text{ pence} \][/tex]
So, the costs are:
- (a) 7 stickers cost 28 pence.
- (b) 12 stickers cost 48 pence.
- (c) 50 stickers cost 200 pence.