Answer:
The price of a pint of veggies is $1.75
Explanation:
* Lets change the story problem to equations and solve them to find
the answer
- 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 5 v + 7 f = 28.70, where
v represents the cost of one pint of cut veggies and f represents
the cost of one pint of cut fruit
∴ The first equation is 5 v + 7 f = 28.70 ⇒ (1)
- The cost of each pint of fruit is $2.85
∵ f represents the cost of one pint of cut fruit
∴ f = 2.85
- Substitute the value of f in equation (1) to find the value of v
∵ 5 v + 7 f = 28.70 ⇒ (1)
∵ f = 2.85
∴ 5 v + 7 (2.85) = 28.70
∴ 5 v + 19.95 = 28.70
- Subtract 19.95 from each side
∴ 5 v = 8.75
- Divide both sides by 5
∴ v = 1.75
∵ v represents the cost of one pint of cut veggies
∴ The price of a pint of veggies is $1.75