HSPT Math › How to solve two-step equations
Solve:
When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication.
Solve:
When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the multiplication, and then the addition.
Solve:
When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication.
Solve:
When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the division, and then the addition.
Solve:
When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the multiplication, and then the division.
Solve:
When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the subtraction.
Solve:
When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication.
Solve:
When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the division.
Solve:
When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the division.
Billy is at the store purchasing flowers for his mother, his grandmother, and his friend. He finds roses on sale by the half dozen (6), tulips selling by the dozen (12), and daisies selling groups of 18.
Billy wants to have the same number of flowers in each bouquet, so that he is able to give everyone the same number of each flower. How many bundles of roses, tulips, and daisies will he have to buy so he has the same amount of each? (Please answer by roses, tulips, then daisies.)
This is a least common multiple problem because we want to have the same number of each flower; meaning if I have 10 roses in each bouquet I should have 10 tulips and 10 daisies as well. In order to solve this problem we should break down the story problem. Let's look at the numbers we are having to work with: 6, 12, 18.
To do least common multiple we must look at the prime factors of each number and we can list them out. A factor is simply a number multiplied by a number to give us a product. A prime number is a number that contains only two factors, one of them being 1 and the other its own number.
So lets list the prime factors of 6, 12, and 18
(2 and 3 are both prime numbers, and factors of 6)
(2 x 2 = 4. 4x3=12 We have to say 2 x 2 because 4 is not a prime number).
Now we have the prime factors listed out for each of our numbers. Next is a fun trick. We must choose which number contains the most of each prime factor. In this case which number contains the most 2's? (12; because 12 has two 2 prime factors). Which number contains the most 3's? (18; because 18 has two 3 prime factors).
Our next step is to multiply the most of our prime factors so in this case:
36 is our least common multiple. So now what do you think we can do with this number? Well the 36 means that is the lowest number of flowers we need of each type in order to have an equal amount of each for the boquets.
Knowing this, if we need 36 roses, and we are able to buy 6 roses per bundle. We need 6 bundles of roses, because 36 divided by 6 is 6. If we get 12 tulips by the bundle, we take 36 divided by 12 to give us 3 bundles of tulips needed. Lastly we can buy 18 daisies per bundle, 36 divided by 18 gives us 2 bundles needed giving us our answers 6, 3, 2 (bundles of roses, tulips, and daisies).