On an automobile assembly line, every third car is green. Every fourth car is a convertible.
a) How many cars are out of the first 100 will be convertibles?
b) Which number of car is First Green convertibles?
Grade 7 Math
Please answer, ASAP.
a) 100/4
b) ?
Thanks Ms.Sue
You've welcome, Vince
b) 12
3x4 = 12
a) To determine how many cars out of the first 100 will be convertibles, we need to find the count of cars that meet the condition of being convertible.
Every fourth car is a convertible, so we need to find the count of numbers that are divisible by 4 up to 100.
To find this count, we can divide 100 by 4 and take the integer value.
Count of convertibles = 100 รท 4
Count of convertibles = 25
Therefore, out of the first 100 cars, there will be 25 convertibles.
b) To find the number of the first green convertible car, we need to determine the least common multiple (LCM) of 3 and 4.
The LCM of 3 and 4 is the smallest number that is divisible by both 3 and 4.
To find the LCM, we can use the method of prime factorization.
Prime factorization of 3 = 3
Prime factorization of 4 = 2^2
To find the LCM, we need to take the highest power of each prime factor.
Therefore, LCM of 3 and 4 = 2^2 * 3 = 12
Hence, the first green convertible car will be the 12th car in the assembly line.