1) Given
2) Substitution
3) Vertical angles
4) Substitution
I'm not sure if this is the correct answer, but I know for a fact that this is relating to vertical angles
Answer:
Jonas can make 4 bouquets, each containing 4 carnations and 3 roses.
Step-by-step explanation:
Given that Jonas has 16 carnations and 12 roses, and he wants to make identical bouquets for a party, to determine how many bouquets can he make the following calculation must be performed, obtaining the largest common divisor between both numbers:
12 = Divisible by 2, 3, 4, 6 and 12
16 = Divisible by 2, 4, 8 and 16
Thus, the common greatest divisor between the two numbers is 4.
12/4 = 3
16/4 = 4
So, Jonas can make 4 bouquets, each containing 4 carnations and 3 roses.
Say her hourly pay was $p for the day shift and $1.2p for the night shift.
(1) x = 55. Clearly insufficient: we need to know how these 55 hours are split between the day shift hours and the night shift hour.
(2) Grace's gross pay for the hours she worked on day shift last month was exactly 50% of her total gross pay for last month. Not sufficient.
(1)+(2) Say Grace worked h hours on the day shift and 55-h hours on the night shift. Thus, her pay for the the hours she worked on day shift is $ph and the total gross pay is $ph+(55-h)*1.2p. From (2) we have that ph=0.5(ph+(55-h)*1.2p) --> reduce by p: h=0.5(h+(55-h)*1.2). We have 1 variable, so we can solve for it. Sufficient.
Answer: C.
32/48 simplified by 16 that equals 2/3
