costco is selling small and large bouguets of roses. 1 small bouquet and 6 large bouquets cost $372. 4 small bouquets and 12 large bouquets cost $780. How much does each small and large bouquets cost?

Based on the information given, it can be seen that the small bouquets cost $18 and the large bouquets cost $59.

Based on the information given, the equation to solve the question will be:

s + 6l = 372 i

4s + 12l = 780 ii

From equation I, s = 372 - 6l

Since 4s + 12l = 780

4(372 - 6l) + 12l = 780

1488 - 24l + 12l = 780

-12l = -708

l  = 708/12

l = 59

Since s + 6l = 372

s + 6(59) = 372

s + 354 = 372

s = 372 - 354

s = 18

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step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)