The total cost of decorating the garden is found by adding fencing and seed costs. Wire fencing costs 200l rupees, wooden fencing costs 160w rupees and seeds cost 50lw rupees. Therefore, total cost equals 200l + 160w + 50lw.
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The algebraic expression in Example 1 has separate variables x and y in different terms. But in Example 2, the term 50lw contains two variables multiplied together. Example 2 also represents cost using area and fencing calculations.
Sarita reads 20 pages daily from a 500-page book. In 15 days, she reads 300 pages. Therefore, 200 pages are left. The linear pattern representing remaining pages after n days is 500 minus 20n.
Bela starts with 100 rupees and spends 5 rupees daily. Let the number of days be x. Then 100 minus 5x equals 40. Solving gives x equal to 12. Therefore, she will have 40 rupees after 12 days.
The pattern increases by 2 squares at every stage. The next three stages after Stage 4 will have 9, 11 and 13 squares. Therefore, the sequence up to Stage 7 is 1, 3, 5, 7, 9, 11, 13.