Solved on Jan 09, 2024

A machine makes 4 toy cars every 1/3 hour. How many toy cars does it make per hour? Draw a model to represent this.

STEP 1

Assumptions
1. The machine makes 4 toy cars every 13\frac{1}{3} hour.
2. We want to find out how many toy cars the machine makes in one full hour.

STEP 2

To find the number of toy cars made in one hour, we need to determine how many 13\frac{1}{3} hour intervals there are in one hour.
Numberofintervals=1hour13hourNumber\, of\, intervals = \frac{1\, hour}{\frac{1}{3}\, hour}

STEP 3

Calculate the number of 13\frac{1}{3} hour intervals in one hour.
Numberofintervals=113Number\, of\, intervals = \frac{1}{\frac{1}{3}}

STEP 4

Simplify the fraction by multiplying the numerator and denominator by 3, which is the reciprocal of 13\frac{1}{3}.
Numberofintervals=1×3=3Number\, of\, intervals = 1 \times 3 = 3

STEP 5

Now that we know there are 3 intervals of 13\frac{1}{3} hour in one hour, we can calculate the total number of toy cars made in one hour by multiplying the number of cars made in each interval by the number of intervals.
Totalnumberoftoycars=Numberoftoycarsperinterval×NumberofintervalsTotal\, number\, of\, toy\, cars = Number\, of\, toy\, cars\, per\, interval \times Number\, of\, intervals

STEP 6

Plug in the values for the number of toy cars per interval and the number of intervals to calculate the total number of toy cars made in one hour.
Totalnumberoftoycars=4×3Total\, number\, of\, toy\, cars = 4 \times 3

STEP 7

Calculate the total number of toy cars made in one hour.
Totalnumberoftoycars=4×3=12Total\, number\, of\, toy\, cars = 4 \times 3 = 12
The machine makes 12 toy cars each hour.

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