Dahlia bought Granny Smith and Macintosh apples at the grocery store. The Granny Smith apples were $1.35 each if you bought 6. Find the cost of each Macintosh apple if the total cost is $15 and she bought 6 of each.(1 point)
Each Macintosh apple cost $
Granny Smith Apples:
The total cost of the Granny Smith apples is $15 - $1.35 * 6 = $15 - $8.10 = $<<15-1.35*6=6.90>>6.90
Therefore, each Macintosh apple cost $6.90 / 6 = $<<6.90/6=1.15>>1.15. Answer: \boxed{1.15}.
Patrick purchased some supplies for his guitar students. He bought 25 guitar picks and 25 guitar strings since they only cost $1 more than the guitar picks. He spent a total of $40. If c is the cost of one guitar pick, find the cost of one guitar string.(1 point)
Let c be the cost of one guitar pick.
The total cost of the 25 guitar picks is 25c.
The cost of the 25 guitar strings is 25c + $1 because they cost $1 more than the guitar picks.
The total cost of the guitar picks and guitar strings is 25c + 25c + $1 = $40.
Thus, the cost of one guitar string is 50c + 1 = $40.
Hence, the cost of one guitar string is c = $40/50 = $<<40/50=0.8>>0.8. Answer: \boxed{0.8}.
Fill in the spaces to solve each step of the problem 14(x+3)=5.(2 points)
Step 1: (__)14(x+3)=5(__).
Step 2: x+3=
.
Step 3: Subtract
from both sides.
Step 4: x=
Step 1: Distribute 14 to both terms inside the parentheses: 14x + 42 = 5.
Step 2: Remove the parentheses: x + 3 = 5.
Step 3: Subtract 3 from both sides: x + 3 - 3 = 5 - 3. This simplifies to: x = 2.
Step 4: The solution is x = 2.