Question

1. a recipe used ⅔ gallon of sap to make 6 bottles of syrup. how m used for 1 bottle? enter your answer as a proper fraction. answer: ______ gallon 4. mr. lopez gets paid once a month. his paycheck is $2,500. mr. lopezs monthly budget: category amount rent & utilities $1,200 food $500 transportation $350 entertainment $150 savings ------

Explanation:

Step1: Solve for sap per bottle

To find sap per bottle, divide total sap by number of bottles. Convert division to multiplication by reciprocal.
$\frac{2}{3} \div 6 = \frac{2}{3} \times \frac{1}{6}$

Step2: Calculate the product

Multiply numerators and denominators, then simplify.
$\frac{2 \times 1}{3 \times 6} = \frac{2}{18} = \frac{1}{9}$

Step3: Calculate total spent

Sum all budget categories except savings.
$1200 + 500 + 350 + 150 = 2200$

Step4: Find savings amount

Subtract total spent from paycheck.
$2500 - 2200 = 300$

Answer:

1. $\frac{1}{9}$ gallon
2. $\$300$