![TamB01](/avatars/35245.jpg)
TamB01
22.01.2020 •
Mathematics
Spring flowering bulbs are on sale at austin's garden shop. travis and sydney want to buy equal amounts of all four kinds. what is the least number of each kind they can buy?
Solved
Show answers
More tips
- C Computers and Internet Best Antivirus: How to Choose Protection for Your Computer?...
- L Legal consultation What Documents Are Required for a Russian Passport?...
- S Sport How to Choose Tennis Rackets?...
- H Health and Medicine AKDS Vaccination: Ensure Your Child s Safety...
- H Health and Medicine Naskol ko Opasen Ukus Kleshcha i Kak Ego Raspoznat...
- C Computers and Internet How to Delete Your Account on Odnoklassniki...
- H Health and Medicine What to Do When Your Jaw Locks Up?...
- G Goods and services What Are the Most Popular Services?...
- P Philosophy How did the concept of module arise in computer science?...
Answers on questions: Mathematics
- M Mathematics 2 meters and 20 centimeters = ? millmeters...
- M Mathematics Select the function that represented in the graph...
- M Mathematics Rachel borrows $2,000 from her bank. At a simple interest rate of 3%, how much does she have to pay back in 5 years?...
- S Social Studies Just as the transition from elementary school to middle or junior high school involves change and possible stress, so does the transition from high school to college....
- H History Nêu kết quả các thủ đoạn trong chiến lược “Diễn biến hòa bình”, bạo loạn lật đổ của các thế lực thù địch chống phá cách mạng Việt Nam?...
- M Mathematics For each of these problems, set up and solve a proportion for each variable....
- E English What did Malala do that got her noticed by the Taliban?...
- M Mathematics 30 points thx 1) the first month after opening, a pizza restaurant had a loss of $320. for the next month the restaurant showed a profit of $126. which expression shows...
Ответ:
60
Step-by-step explanation:
The problem will be solved by looking for the least common multiple (LCM) of the amounts of all four kinds since they want equal amounts of each.
LCM is defined as the smallest positive integer that is divisible by each of the integers (spring flowering bulbs in this case) involved in the operation.
therefore, we are looking for the LCM of the following integers:
Crocus: 6
Tulip: 4
Daffodil: 3
Hyacinth: 5
The first step to calculate the LCM is to factor each integer (to break it up into numbers that can be multiplied together to get the original number) and express them in terms of powers:
Crocus: 6=2*3
Tulip: 4=2*2=![2^{2}](/tpl/images/0466/3936/0b244.png)
Daffodil 3 = 3 (prime numbers only have themselves as factors)
Hyacinth 5=5 (prime numbers only have themselves as factors)
Now, To calculate the LCM we need to multiply all factors we have found ( in this case 2, 3, and 5) but only once and with the maximum power.
This means the least number of each spring flowering bulbs that they can buy to buy equal amounts is 60.
Now this will cost:
Crocus:![\frac{60}{6}*1.65 =10*1.65=16.5](/tpl/images/0466/3936/3272d.png)
Tulip:![\frac{60}{4}*3.50 =15*3.50=52.5](/tpl/images/0466/3936/8e7ee.png)
Daffodil:![\frac{60}{3}*1.95 =20*1.95=39](/tpl/images/0466/3936/a524b.png)
Hyacinth:![\frac{60}{5}*2.25 =12*2.25=27](/tpl/images/0466/3936/7c6d1.png)
Ответ:
Step-by-step explanation:
x + 3y = 24multiply by -1
5x + 3y = 36
-x - 3y = -24 (result of multiplying by -1)
5x + 3y = 36
add
4x = 12
x = 12/4
x = 3 <
x + 3y = 24
3 + 3y = 24
3y = 24 - 3
3y = 21
y = 21/3
y = 7 <