Answer :
To solve the problem, the total sales were divided by the cost per pair to find the total number of pairs sold. Using this number, the equation based on the sales by each store was set up and solved to find that SoccerWorld sold 57 pairs of football boots.
To calculate how many pairs of football boots SoccerWorld sold, we first need to determine the total number of pairs sold based on the total sales and the cost per pair.
The total sales were
£7000, and each pair costs £70. Therefore, the total number of boots sold is
£7000 / £70 = 100 pairs.
Let x represent the nuber of boots sold by JP Sports. Then SoccerWorld sold 3x boots, and DirectSportz sold x + 5 boots.
We can write the equation: x + 3x + (x + 5) = 100 pairs.
Simplifying gives us 5x + 5 = 100.
Subtract 5 from boh sides: 5x = 95.
Divide both sides by 5: x = 19.
Now we can find out how many boots SoccerWorld sold by multiplying JP Sports' sales by 3: 3 * 19 = 57 pairs sold by SoccerWorld.
The total number of pairs sold by SoccerWorld is 57
How to determine the total number of pairs sold by SoccerWorld?
From the question, we have the following parameters that can be used in our computation:
- SoccerWorld sold 3 as many boots as JP Sports
- DirectSportz sold 5 more boots than JP Sports.
- Cost of each pair = £70
- Amount in sales = £7000
The above parameters means that
s = 3j
d = 5 + j
70(s + d + j) = 7000
Where
j = JP Sports
s = SoccerWorld
d = DirectSportz
Divide both sides of 70(s + d + j) = 7000 by 70
s + d + j = 100
Substitute s = 3j and d = 5 + j
3j + 5 + j + j = 100
Evaluate the like terms
5j = 95
Divide by 5
j = 19
Substitute j = 19 in s = 3j
s = 3 * 19
So, we have
s = 57
Hence, the number of pairs is 57
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