Question

A shop has a sale. Microwave ovens 1/3 off normal price Combination ovens 40% off normal price A microwave oven has a sale price of £90 A combination oven has a sale price of £84. Which of these ovens has the greater normal price? You must show all your working.​

Answer 1

The combination oven has the greater normal price, with a normal price of £140.

Explanation:

Let M be the normal price of the microwave oven, and C be the normal price of the combination oven.

Given that a microwave oven has a sale price of £90, which is 1/3 off the normal price, we can express this as:

Normal Price of Microwave Oven (M) - (1/3) * Normal Price of Microwave Oven (M) = £90

To solve for M, first, find (1/3) of M:

(1/3) * M = M/3

Now, subtract M/3 from M to find the normal price:

M - (M/3) = £90

To simplify the equation, find a common denominator, which is 3:

(3M/3) - (M/3) = £90

Now, subtract the fractions:

(2M/3) = £90

To isolate M, multiply both sides by 3/2:

M = (£90) * (3/2) = £135

So, the normal price of the microwave oven is £135.

Now, given that a combination oven has a sale price of £84, which is 40% off the normal price, we can express this as:

Normal Price of Combination Oven (C) - 40% * Normal Price of Combination Oven (C) = £84

To solve for C, first, find 40% of C, which is 40/100 or 2/5:

(2/5) * C = 2C/5

Now, subtract 2C/5 from C to find the normal price:

C - (2C/5) = £84

To simplify the equation, find a common denominator, which is 5:

(5C/5) - (2C/5) = £84

Now, subtract the fractions:

(3C/5) = £84

To isolate C, multiply both sides by 5/3:

C = (£84) * (5/3) = £140

So, the normal price of the combination oven is £140.

Now, compare the normal prices:

Normal Price of Microwave Oven (M) = £135

Normal Price of Combination Oven (C) = £140

The combination oven has the greater normal price, with a normal price of £140.