Answer:
D.) Elliott has 212 cans, Amelia has 45 cans
Step-by-step explanation:
257 = x + (5x - 12)
257 = 6x - 13
+13 +13
270 = 6x
/6 /6
45 = x (the amount of Amelia's cans)
257 - 45 = 212 (the amount of Elliott's cans)
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Answer:
1. 2x - 5 + x = 20
Step-by-step explanation:
Let Aseem's car as x,
Stana's = 5 less than 2x
= 2x - 5
Aseem's + Stana's = 20
x + 2x - 5 = 20
2x - 5 + x = 20
1.) y=3
2.) y=13
2y + y = 3y , 22+17= 39
3y = 39 , divide 3 on each side (which cancels out the 3 with the y which leaves you with y)
3.) y=10
3y - y = 2y , 35-15= 20
2y=20 , do the same as # 2.
4.) y=4
9y - 5y = 4y , 48-32= 16
4y=16, do the same as #2 & #3
5.) (4,5)
x + 3y = 19
2x - 3y = -7
solve for x first ; x + 2x= 3x , 19-7 = 12; 3x = 12 ; divide 3 ; x= 4. You know have to make the x's cancel out. so I will multiply -2 on the first equation. -2(x+3y=19)
-2x - 6y = -38
2x - 3y = -7
Now solve for y ; -6y + -3y = -9y , -38 + -7 = -45; -9y=-45 ; divide by -9 (since they are both negative your answer will be positive) ; y= 5
6.) (6,8)
x + 4y = 38
-x - 3y = -30
solve for y first ; 4y - 3y = y , 38-30 = 8; y=8 (that simple!) Now you need to find a common multiple for 4 & 3 which is 12. So you will have to multiply each equation by either 4 or 3.
(x + 4y = 38)*3 = 3x + 12y = 114
(-x - 3y = -30)*4 = -4x - 12y = -120
solve for x ; 3x - 4x = -x , 114-120= -6 ; -x=-6. Since the x has a negative that means there's still a 1 there so -1x=-6 ; you will need to divide this which makes the 6 a positive; x=6
You want to get the total amount Henri has which is $14 then subtract the flat fee.
14-1.25=12.75, He has $12.75 left to pay for miles, Since the taxi charges .75 a mile, you get $12.75/.75= 17
Henri has enough to pay to ride 17 miles.
Hope this helps
