Below is the solution:
There are two equations to be solved here. The first one we assign variables to the home runs Peter hits, P, and Alice hits, A. P=2*(A-6) The second equation is the sum of both players home runs.P + A = 18Solving for P yieldsP=18-A We substitute the solution for P into the first equation and solve for A.(18-A) = 2*(A-6)18 - A = 2A - 123A = 30A = 10 Now that A is known, we can plug it into either equations for P to find how many home runs Peter hitsP=18 - (10) = 8orP=2((10)-4) = 8
$104 because 30% of $80 is $24 and $80+$24 is $124 so...... that's what I got
Answer:
Mom=30 Daughter=6
Step-by-step explanation:
M=5×D
M+6=3×D
5D=3D-6
2D=6
D=12
M=12×3=36
Now: D=12-6=6
M=36-6=30
We know that:
Cost (Cranberry Juice): 6.3 per quart
Cost (Apple Juice): 3.6 per quart
Quantity (Apple Juice): 4 quarts
Quantity (Cranberry Juice): q quarts
Further we know that Terrence wants the cost of the juice to be 4.5 per quart
Hence Total Cost = Cost per quart × Total Number of quarts = (Cost per quart for Apple Juice × Total Number of Apple Juice Quarts) + (Cost per quart for Cranberry Juice × Total Number of Cranberry Juice Quarts)
⇒ Total Cost = 4.5 × (q+4) = 6.3 × q + 3.6 × 4
⇒ 4.5(q+4) = 6.3q + 14.4, which matches with option D
Hence, the correct option is D
Answer:
company b 10,080 dollars
Step-by-step explanation:
