chen is bringing fruit and veggies to serve at an afternoon meeting. he spends a total of $28.70 on 5 pints…

chen is bringing fruit and veggies to serve at an afternoon meeting. he spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. the food cost is modeled by the equation ( 5v + 7f = 28.70 ), where ( v ) represents the cost of one pint of cut veggies and ( f ) represents the cost of one pint of cut fruit. if the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (round to the nearest cent, as needed.)\n$1.75\n$2.06\n$2.39\n$3.99

chen is bringing fruit and veggies to serve at an afternoon meeting. he spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. the food cost is modeled by the equation ( 5v + 7f = 28.70 ), where ( v ) represents the cost of one pint of cut veggies and ( f ) represents the cost of one pint of cut fruit. if the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (round to the nearest cent, as needed.)\n$1.75\n$2.06\n$2.39\n$3.99

Answer

Explanation:

Step1: Substitute the value of ( f ) into the equation

Given ( f = 2.85 ), substitute into ( 5v+7f = 28.70 ). We get ( 5v+7\times2.85=28.70 ). First, calculate ( 7\times2.85 = 19.95 ). So the equation becomes ( 5v+19.95 = 28.70 ).

Step2: Solve for ( v )

Subtract ( 19.95 ) from both sides of the equation ( 5v+19.95 = 28.70 ). ( 5v=28.70 - 19.95 ). ( 28.70-19.95 = 8.75 ), so ( 5v = 8.75 ). Then divide both sides by ( 5 ): ( v=\frac{8.75}{5} ). ( v = 1.75 ).

Answer:

( $1.75 ) (the first option)