Subjects algebra

Pay Rise 312224

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Question: Mrs Fisher is given a 10% pay rise. Her new wage is £22 per hour. 100% 10% £22 a) Complete the sentence. % is equivalent to £22 b) Work out Mrs Fisher's hourly wage before the pay rise. £ 7 A large box of cereal contains 25% more cereal than a standard box. The large box contains 500 g of cereal. Calculate how many grams of cereal there are in the standard box. g 4 Work out the numbers. a) 20% of a number is 10 The number is b) 20% of a number is 15 The number is c) 20% of a number is d) 20 5 Filip has some red and yellow counters. 25% of Filip's counters are red. There are 5 red counters. a) How many counters does Filip have in total? b) How many yellow counters does Filip have? 6 I know that 5% of my number is 30 How can you work out 10% of Eva’s number? What other percentages of Eva’s number
1. **Problem statement:** Mrs Fisher has a 10% pay rise and her new wage is £22 per hour. We need to find her original wage before the rise. 2. **Understanding the problem:** A 10% pay rise means her new wage is 110% of her original wage. 3. **Formula:** New wage = Original wage \times (1 + Percentage increase) = Original wage \times 1.10 4. **Set up the equation:** $$22 = Original\ wage \times 1.10$$ 5. **Solve for original wage:** $$Original\ wage = \frac{22}{1.10}$$ 6. **Simplify:** $$Original\ wage = \frac{22}{\cancel{1.10}} = 20$$ 7. **Answer:** Mrs Fisher's hourly wage before the pay rise was £20. **Final answers:** a) 10% is equivalent to £2 (since 10% of original wage £20 is £2, and the increase is £2 to reach £22) b) £20