Question

Max went to the store and bought 22 apples. He bought twice as many red apples as he did green, and he bought one-third as many yellow as he did red. How many of each type of apple did he buy?
(Points : 1)
18 red; 8 green; 6 yellow
12 red; 6 green; 4 yellow
10 red; 5 green; 7 yellow
14 red; 7 green; 3 yellow

Answer 1

r=red
g=green
y=yellow

r=2g
y=r3 ⟹ y=2g3
so lets write the equation:
r+y+g=22
substitute all the values:
2g+2g3+g=22
find common denominators:
6g3+2g3+3g3=22
add:
11g3=22
multiply by the reciprocal to isolate g:
31111×111g31=222×3111
lets write that a little cleaner:
g=2×3
multiply:
g=6
now plug that into r=2g and y=2g3:
r=2(6) ⟹ r=12

y=2(6)3 ⟹ y=123 ⟹ y=4
now lets test it out:
r=12
g=6
y=4
12+4+6=22 ?
22=22 ✓

and thus:
Max bought 12 red, 6 green, and 4 yellow apples.

Answer 2

Max bought 12 red, 6 green, and 4 yellow apples.

Answer 3

yup

Answer 4

thanks

Answer 5

Fiona has a jar filled with 150 coins made up of quarters and nickels. The total value of the coins is $25.10.

If x represents the number of quarters in the jar, which equation can be used to find the number of quarters?
(Points : 1)
0.25x + 0.05(x – 150) = 25.10
0.05x + 0.25(150 – x) = 25.10
0.05x + 0.25(x – 150) = 25.10
0.25x + 0.05(150 – x) = 25.10

Answer 6

if we make "x" the quarters, then we can say that

x + "nickels amount" = 150 coins
and we can also say that "nickels amount" = 150-x solving for "nickels amount"


there are 25 cents in 1 quarter, and 5cents in 1 nickel

so we can say that, the amount of quarters times 25 cents, "x", plus the "nickels amount" times 5 cents= $25.10

25.10 is really just 2,510 cents or pennies
so

so we can say that

25x + 5(x-150) = 2,510



"x" + (150-x) = 150

Answer 7

25x + 5(x-150) = 2,510 #divide both sides by 100 to convert it from pennies to dollars

Answer 8

so which one is that abc, or d sorry my computer slow

Answer 9

so whats your choice @BrAnDoN_AAS ?

Answer 10

@BrAnDoN_AAS

Answer 11

it can't be A because A is the wrong answer I tried it

Answer 12

oh sorry I was doing something else for a second

Answer 13

thats okay

Answer 14

im having too many issues with connection, one sec

Answer 15

ok

Answer 16

D?

Answer 17

Are you sure its not A

Answer 18

im very sure it's not

Answer 19

try c

Answer 20

im pretty sure its A because heres the link I gott the imformation from http://openstudy.com/study#/updates/52715b1ee4b077aaee83b8f7

Answer 21

The connection on this site sucks

Answer 22

^^^

Answer 23

B. it is
0.05x + 0.25(150 – x) = 25.10
0.05x + 37.5 - 0.25x = 25.10
-0.20x + 37.5= 25.10
-37.5 -37.5
-0.20x = -12.4
x = 62
0.05x + 0.25(150 – x) = 25.10
0.05(62) + 37.5 - 15.5 = 25.10
3.1 + 37.5 - 15.5 = 25.10
25.10 = 25.10 correct!

Answer 24

did you understand?

Answer 25

and sorry it took so long, had to do it for all 4 equations, while the connection erased everything lol