Dr. Lambert, a farm veterinarian, just weighed a pig and found out that it is 9 kilograms, which is 10% less than the last time he checked. How much did the pig weigh last time? ____ kilograms

Calculate Expression: Step 1: Let x be the weight of the pig last time. Calculate the expression for 10% less than the previous weight. Expression for current weight: x - 10%(x) = x - 0.1xSet Up Equation: Step 2: We found: Expression for current weight is x - 0.1x We know: Value for current weight is 9 kg Set up an equation to find x, the previous weight. Equation for current weight is 9 = x - 0.1x.Solve for x: Step 3: We found: 9 = x - 0.1x Solve for x. x - 0.1x = 9 0.9x = 9 x = 9 / 0.9 x = 10

Home

Math Problems

Grade 8

Percent of change: find the original amount word problems

Full solution

Q. Dr. Lambert, a farm veterinarian, just weighed a pig and found out that it is

9\,\text{kilograms}

, which is

10\%

less than the last time he checked. How much did the pig weigh last time?

\newline

____ kilograms

Calculate Expression: Step $1$ : Let $x$ be the weight of the pig last time. $\newline$ Calculate the expression for $10\%$ less than the previous weight. $\newline$ Expression for current weight: $x - 10\%(x) = x - 0.1x$
Set Up Equation: Step $2$ : We found: Expression for current weight is $x - 0.1x$ We know: Value for current weight is $9 \, \text{kg}$ Set up an equation to find $x$ , the previous weight. Equation for current weight is $9 = x - 0.1x$ .
Solve for x: Step $3$ : We found: $9 = x - 0.1x$ $\newline$ Solve for x. $\newline$ $x - 0.1x = 9$ $\newline$ $0.9x = 9$ $\newline$ $x = \frac{9}{0.9}$ $\newline$ $x = 10$