Question

Lena is buying $12 worth of fruit to bring as a class snack. Apples are $1.40 per pound and bananas are $1.25 per pound. Let a be the number of pounds of apples and b the number of pounds of bananas. Write an equation in standard form to model the scenario.

Answer 1

equation : 1.40a + 1.25b = 12

Answer 2

`1.40a+1.25b=12`.

Step-by-step explanation:

Let 'a' be the number of pounds of apples and 'b' the number of pounds of bananas.

We have been given that Lena is buying $12 worth of fruit to bring as a class snack. Apples are $1.40 per pound and bananas are $1.25 per pound.

We know that standard form of equation is in format
`Ax+By=C`, where A, B and C are integers.

Since the cost of per pound of apples is $1.40, so cost of 'a' pounds of apples would be
`1.40a`.

Since the cost of per pound of bananas is $1.25, so cost of 'b' pounds of apples would be
`1.25b`.

We are also told that the fruits are worth $12, we can represent this information in an equation as:

`1.40a+1.25b=12`

Therefore, the equation
`1.40a+1.25b=12` represents the given scenario in standard form of equation.