Answer:
The number of fries and shakes sold are 70 and 35 respectively.
Step-by-step explanation:
The number of fries sold can be denoted by <em>x</em>.
The number of shakes sold can be denoted by <em>y</em>.
The equation representing the total number of items sold is:
<em>x</em> + <em>y</em> = 105...(i)
The cost fries is, $2.
The cost of shakes is, $3.
The equation representing the total money earned is:
2<em>x</em> + 3<em>y</em> = 245...(ii)
Solve equations (i) and (ii) simultaneously as follows:
Multiply equation (i) by 3 and subtract:
3x + 3y = 315
2x + 3y = 245
(-) (-) (-)
___________
x = 70
Compute the value of <em>y</em> as follows:
x + y = 105
70 + y = 105
y = 105 - 70
y = 35
Thus, the number of fries and shakes sold are 70 and 35 respectively.