QuestionJason eats 10 ounces of candy in 5 days. How many pounds does he eat per day? How long to eat 1 pound? $(16$ ounces $=1$ pound $)$

Studdy Solution

STEP 1

Assumptions1. The son eats10 ounces of candy in5 days. . He eats at the same rate per day.
3. We want to find out how many pounds he will eat per day.
4. We know that16 ounces equals1 pound.
5. We also want to find out how long it will take him to eat1 pound of candy.

STEP 2

First, we need to find out how much candy he eats per day in ounces. We can do this by dividing the total amount of candy he eats in5 days by the number of days.
$Candy\, per\, day\, (ounces) = \frac{Total\, candy\, (ounces)}{Number\, of\, days}$

STEP 3

Plug in the given values for the total amount of candy and the number of days to calculate the amount of candy eaten per day in ounces.
$Candy\, per\, day\, (ounces) = \frac{10\, ounces}{5\, days}$

STEP 4

Calculate the amount of candy eaten per day in ounces.
$Candy\, per\, day\, (ounces) = \frac{10\, ounces}{\, days} =2\, ounces\, per\, day$

STEP 5

Now, we need to convert the amount of candy eaten per day from ounces to pounds. We can do this by dividing the amount of candy eaten per day in ounces by the number of ounces in a pound.
$Candy\, per\, day\, (pounds) = \frac{Candy\, per\, day\, (ounces)}{Number\, of\, ounces\, in\, a\, pound}$

STEP 6

Plug in the values for the amount of candy eaten per day in ounces and the number of ounces in a pound to calculate the amount of candy eaten per day in pounds.
$Candy\, per\, day\, (pounds) = \frac{2\, ounces}{16\, ounces}$

STEP 7

Calculate the amount of candy eaten per day in pounds.
$Candy\, per\, day\, (pounds) = \frac{2\, ounces}{16\, ounces} =0.125\, pounds\, per\, day$

STEP 8

Now, we need to find out how long it will take him to eat1 pound of candy. We can do this by dividing the total amount of candy (1 pound) by the amount of candy he eats per day.
$Time\, to\, eat\,1\, pound\, (days) = \frac{Total\, candy\, (pounds)}{Candy\, per\, day\, (pounds)}$

STEP 9

Plug in the values for the total amount of candy and the amount of candy eaten per day to calculate the time it will take to eat pound of candy.
$Time\, to\, eat\,\, pound\, (days) = \frac{\, pound}{.125\, pounds\, per\, day}$

STEP 10

Calculate the time it will take to eat pound of candy.
$Time\, to\, eat\,\, pound\, (days) = \frac{\, pound}{0.125\, pounds\, per\, day} =8\, days$ The son will eat0.125 pounds of candy per day and it will take him8 days to eat pound of candy.

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