The cost of 1 watermelon and 5 oranges is $11.The cost of 3 watermelons and 5 oranges is $24.50.How much is the cost of 1 watermelon?

$6.75

Step-by-step explanation:

1: In this explanation, let's let one watermelon be w, and one orange be o.

2: From the passage, 1w + 5o = $11.

3: Also from the passage, 3w + 5o = $24.50

4: We can then use a simultaneous equation to work them out - both equations we have use 5 oranges.

3w + 5o = 24.5 (equation 1)

1w + 5o = 11 (equation 2)

5: We can now take the second equation away from the first :

3w - 1w = 2w, 5o - 5o = 0, 24.5 - 11 = 13.5

Now we know 2w = 13.5

6: If 2w = $13.50, one watermelon will be half of that, so $6.75

Hope this helps, let me know if you have any further questions :)

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step-by-step explanation:

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