Question

8. A road side vegetable stand seils pumpkins for ss each and tomatoes for $3 each. The total sales on

a certain day was $98. I they sold 10 pumpkins write and solve a linear equation to find the nume
of tomatoes soid.

Answer 1

a). The linear equation is: 3 t+50=98, where t=number of tomatoes sold

b). The total number of tomatoes sold=16

Explanation:

a).

Step 1

Derive the expression for the total sales as shown;

S=(T×t)+(P×p)

where;

S=total sales

T=price per tomatoes

t=number of tomatoes sold

P=price per pumpkin

p=number of pumpkins sold

In our case;

S=$98

T=$3

t=t

P=$5

p=10

replacing;

98=(3×t)+(5×10)

3 t+50=98...equation

The linear equation is: 3 t+50=98

b). solve for t;

3 t+50=98

3 t=98-50

3 t=48

t=48/3=16

t=16

The total number of tomatoes sold=t=16