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A florist orders exactly
(1)/(3) gallons of nutrient-rich water for each bushel of flowers he buys. The florist buys bushels of flowers at
$1.20 per bushel and gallons of nutrient-rich water at
$0.60 per gallon. Which of the following equations gives the total cost,
C(b), in dollars, for
b bushels of flowers and the nutrient-rich water ordered for them?
Choose 1 answer:
(A)
C(b)=(1.2+0.2)*b
(B)
C(b)=3*0.6*b
(c)
C(b)=(1.2+0.6)*b
(D)
C(b)=7*0.6*b

A florist orders exactly $\frac{1}{3}$ gallons of nutrient-rich water for each bushel of flowers he buys. The florist buys bushels of flowers at $\$ 1.20$ per bushel and gallons of nutrient-rich water at $\$ 0.60$ per gallon. Which of the following equations gives the total cost, $C(b)$ , in dollars, for $b$ bushels of flowers and the nutrient-rich water ordered for them? $\newline$ Choose $1$ answer: $\newline$ (A) $C(b)=(1.2+0.2) \cdot b$ $\newline$ (B) $C(b)=3 \cdot 0.6 \cdot b$ $\newline$ (c) $C(b)=(1.2+0.6) \cdot b$ $\newline$ (D) $C(b)=7 \cdot 0.6 \cdot b$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. A florist orders exactly

\frac{1}{3}

gallons of nutrient-rich water for each bushel of flowers he buys. The florist buys bushels of flowers at

\$ 1.20

per bushel and gallons of nutrient-rich water at

\$ 0.60

per gallon. Which of the following equations gives the total cost,

C(b)

, in dollars, for

b

bushels of flowers and the nutrient-rich water ordered for them?

\newline

Choose

1

answer:

\newline

(A)

C(b)=(1.2+0.2) \cdot b

\newline

(B)

C(b)=3 \cdot 0.6 \cdot b

\newline

(c)

C(b)=(1.2+0.6) \cdot b

\newline

(D)

C(b)=7 \cdot 0.6 \cdot b

Calculate Cost of Flowers: Calculate the cost of $b$ bushels of flowers. $\newline$ Cost of flowers = $\$1.20$ per bushel $*$ $b$ bushels
Calculate Cost of Water: Calculate the cost of nutrient-rich water needed for $b$ bushels of flowers. $\newline$ Since $1$ bushel requires $\frac{1}{3}$ gallons, $b$ bushels require $\frac{1}{3} \times b$ gallons. $\newline$ Cost of water = $\$(0.60)$ per gallon $\times \frac{1}{3} \times b$ gallons
Simplify Water Cost: Simplify the cost of water. $\newline$ Cost of water = $\$0.60 \times \frac{1}{3} \times b$ $\newline$ Cost of water = $\$0.20 \times b$
Find Total Cost: Add the cost of flowers and the cost of water to get the total cost $C(b)$ . $C(b) = (\$(1.20) \times b) + (\$(0.20) \times b)$ $C(b) = \$1.20b + \$0.20b$
Combine Like Terms: Combine like terms to find the equation for $C(b)$ . $C(b) = (\$(1.20) + \$(0.20)) \times b$ $C(b) = \$(1.40) \times b$

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