Answer:
• 120 pints of 35% juice
• 30 pints of 60% juice
Step-by-step explanation:
You are asked to find the quantity of each kind of juice, and you are told the total quantity required. It is generally convenient to choose a variable to represent the quantity that makes the greatest contribution to the mix. Here, that is the 60% juice, so we can let q represent the quantity (in pints) required of that.
Then (150-q) is the quantity required of 35% juice.
The total amount of juice in the mix is ...
0.60q + 0.35(150 -q) = 0.40·150
0.25q = 150(0.40 -0.35) . . . . simplify, subtract 0.35·150
q = 150(0.05/0.25) = 30 . . . . pints of 60% juice
150-q = 120 . . . . . . . . . . . . . . . pints of 35% juice
120 pints of 35% juice and 30 pints of 60% juice are required to make 150 pints of 40% juice.
Answer:
Step-by-step explanation:
She’ll have to pay 106.50 extra so her total would be 506:50
130, - 12, 56.1, 11.2
these are all arithmetic sequences with n th term formula
= 
+ (n - 1 )d
where d is the common difference and the first term
(1)
d = 10 - 4 = 4 - (- 2 ) = 6 and = - 14
= - 14 + (24 × 6) = - 14 + 144 = 130
(2)
d = 14 - 16 = 16 - 18 = - 2 and = 22
= 22 + (17 × - 2 ) = 22 - 34 = - 12
(3)
= 2.2 + (49 × 1.1) = 2.2 + 53.9 = 56.1
(4)
= - 4.2 + (11 × 1.4 ) = - 4.2 + 15.4 = 11.2
