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Math  /  Numbers & Operations

Question5. Determine the final number after increasing or decreasing by the given percentage. Show ho you arrived at your final answer. (a) increase 48 by 25%25 \% (b) decrease 150 by 20%20 \% (c) increase 55 by 2%2 \%

Studdy Solution

STEP 1

1. We are given initial values and percentages for increase or decrease.
2. We need to calculate the final number after applying the percentage change.
3. The percentage change can be either an increase or a decrease.

STEP 2

1. Convert the percentage to a decimal.
2. Calculate the amount of change.
3. Apply the change to the initial value.

STEP 3

Convert the percentage to a decimal for each part of the problem.
(a) 25%=0.25 25\% = 0.25
(b) 20%=0.20 20\% = 0.20
(c) 2%=0.02 2\% = 0.02

STEP 4

Calculate the amount of change for each part.
(a) Increase: 48×0.25=12 48 \times 0.25 = 12
(b) Decrease: 150×0.20=30 150 \times 0.20 = 30
(c) Increase: 55×0.02=1.1 55 \times 0.02 = 1.1

STEP 5

Apply the change to the initial value to find the final number.
(a) Final number after increase: 48+12=60 48 + 12 = 60
(b) Final number after decrease: 150−30=120 150 - 30 = 120
(c) Final number after increase: 55+1.1=56.1 55 + 1.1 = 56.1
The final numbers are:
(a) 60\boxed{60}
(b) 120\boxed{120}
(c) 56.1\boxed{56.1}

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