Answer:
The fraction jumped into boiling water because it wanted to be reduced.
Step-by-step explanation:
This is a maths riddle about fractions. We often see fractions that we might feel could be reduced. So, if these kinds of fractions jumps into a boiling water, they get reduced. The riddle is rather funny though.
Let a the price of a basket of oranges be O, that of a basket of apples A, a basket of mangoes M and a basket of peaches P, then
O + A + M + P = 790 . . . (1)
M - 4 = P + 7 = 3O = A/2 . . . (2)
From (2), we have:
M = P + 11
O = (P + 7)/3
A = 2P + 14
Substituting for M, O and A into (1), gives:
(P + 7)/3 + 2P + 14 + P + 11 + P = 790
P + 7 + 6P + 42 + 3P + 33 + 3P = 2370
13P + 82 = 2370
13P = 2288
P = 176
Therefore, the price of a basket of peaches is Rs176.
Answer: See explanation
Step-by-step explanation:
Price of sandwich = $6
Food tax = 5% of $6
= 0.05 × $6
= $0.3
Tip = 20% of $6
= 0.2 × $6
= $1.2
Total cost of meal:
= $6 + $0.3 + $1.2
= $7.5
I cannot see Zoe's work to explain the error, but the correct method of solving is listed:
x is the number of 30-second ads
y is the number of 60-second ads
x+y=12(60)=720 would be the first equation; this is because while the ads together make 12 minutes, the ad times are in seconds. This means we must multiply 12 by 60.
y=2x is the second equation
Our system is then
x+y=720
y=2x
We will use substitution to solve this. Plug 2x in place of y in the first equation:
x+2x = 720
Combine like terms:
3x = 720
Divide both sides by 3:
3x/3 = 720/3
x = 240
Substitute this value in for x in the second equation:
y=2(240)
y=480
