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QuestionA panda eats 30 kg30 \mathrm{~kg} of bamboo daily. How many pounds does it eat in 6 weeks? Use 1 kg≈2.2lb1 \mathrm{~kg} \approx 2.2 \mathrm{lb}.

Studdy Solution

STEP 1

Assumptions1. The panda eats about30 kg of bamboo per day. There are7 days in a week3. The panda eats the same amount of bamboo every day4.1 kg is approximately equal to. lb5. We are asked to find the total amount of bamboo the panda will eat in6 weeks

STEP 2

First, we need to find out how much bamboo the panda eats in a week. We can do this by multiplying the amount of bamboo the panda eats per day by the number of days in a week.
Bamboo per week=Bamboo per daytimesDays in a weekBamboo\, per\, week = Bamboo\, per\, day \\times Days\, in\, a\, week

STEP 3

Now, plug in the given values for the bamboo per day and days in a week to calculate the bamboo per week.
Bamboo per week=30 kgtimes7Bamboo\, per\, week =30\, kg \\times7

STEP 4

Calculate the amount of bamboo the panda eats in a week.
Bamboo per week=30 kgtimes7=210 kgBamboo\, per\, week =30\, kg \\times7 =210\, kg

STEP 5

Now that we have the amount of bamboo the panda eats in a week, we can find out how much bamboo the panda eats in weeks. We can do this by multiplying the amount of bamboo the panda eats per week by the number of weeks.
Bamboo in  weeks=Bamboo per weektimesNumber of weeksBamboo\, in\,\, weeks = Bamboo\, per\, week \\times Number\, of\, weeks

STEP 6

Plug in the values for the bamboo per week and the number of weeks to calculate the bamboo in6 weeks.
Bamboo in 6 weeks=210 kgtimes6Bamboo\, in\,6\, weeks =210\, kg \\times6

STEP 7

Calculate the amount of bamboo the panda eats in6 weeks.
Bamboo in 6 weeks=210 kgtimes6=1260 kgBamboo\, in\,6\, weeks =210\, kg \\times6 =1260\, kg

STEP 8

Now that we have the amount of bamboo the panda eats in6 weeks in kilograms, we need to convert this to pounds. We can do this by multiplying the amount of bamboo in kilograms by the conversion factor from kilograms to pounds.
Bamboo in 6 weeks in pounds=Bamboo in 6 weeks in kilogramstimesConversion factorBamboo\, in\,6\, weeks\, in\, pounds = Bamboo\, in\,6\, weeks\, in\, kilograms \\times Conversion\, factor

STEP 9

Plug in the values for the bamboo in6 weeks in kilograms and the conversion factor to calculate the bamboo in6 weeks in pounds.
Bamboo in 6 weeks in pounds=126 kgtimes2.2 lb/kgBamboo\, in\,6\, weeks\, in\, pounds =126\, kg \\times2.2\, lb/kg

STEP 10

Calculate the amount of bamboo the panda eats in6 weeks in pounds.
Bamboo in 6 weeks in pounds=1260 kgtimes2.2 lb/kg=2772 lbBamboo\, in\,6\, weeks\, in\, pounds =1260\, kg \\times2.2\, lb/kg =2772\, lbThe panda will eat about2772 pounds of bamboo in6 weeks.

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