If Connie spent $26 on 8 books, The number of hard covers she buy is 5 hard cover.
<h3>
Number of hardcover bought</h3>
Let h represent hard cover
Let p represent paperbacks
Formulate an equation
h + p= 8.......(1)
4h + 2p= 26......(2)
Multiply equation (1) by -2
-2h + -2p = -16
<u> 4h + 2p = 26</u>
2h + 0p =10
2h = 10
Divide both side by 2h
h=10/2
h =5 hard covers
Paper backs
P=5-2
P=3 paper backs
Therefore If Connie spent $26 on 8 books, The number of hard covers she buy is 5 hard cover.
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This is the concept of algebra, to calculate the proportion of wool in each item we proceed as follows;
Let the amount of wool used for hat be x
amount of wool in sweater will be 5x
the amount of wool used in scarf will be x-5
therefore the total amount of wool will be:
x+5x+(x-5)=550
x+5x+x-5=550
7x-5=550
7x=550+5
7x=555
hence;
x=555/7
x=79
the amount used in hat x=79g
amount used in sweater 5x=395g
amount used in scarf=79-5=74g
Answer:
81 adult tickets
Step-by-step explanation:
Step 1:
Set up a system of equations
Since the adult tickets and student tickets add to 243, we can do
and the student tickets sold were 2x the adult tickets, we can do
We can replace s in the first equation adding to 243 with 2a
Step 2:
Solve for a. We can divide both sides by 3.
Therefore, there were 81 adult tickets sold.
Step 3:
We can check our work! Since we learned earlier the student tickets are 2x adult tickets, we can multiply 81 by 2 and add that to 81 to see if it equals 243!
And...
So, 81 must be the answer!
Answer:
5.6 miles.
Step-by-step explanation:
7/80=x/64 is our equation
Cross multiply to solve for x
x=7*64/80
x=5.6mi
Hope this helps ^-^
I think it’s a but I don’t know if it’s right