Solve the following word problems involving simple algebraic equations:

Question

ScanSolve AI Tutor · Accepted Answer

here are the solutions to the word problems:

Define the variables.
Let $x$ be the number of apple tarts made on Saturday.
Number of apple tarts made on Sunday = 15.
Total apple tarts made = 37.
Formulate the equation.
$x + 15 = 37$
Solve for $x$ .
$x = 37 - 15$ $x = 22$
Mrs. Simon made $\boxed{22 \text{ apple tarts}}$ on Saturday.
Define the variables.
Let $m$ be the mass of Bag A in kilograms.
Mass of Bag B = 4 kilograms.
Total mass of the two bags = 9 kilograms.
Formulate the equation.
$m + 4 = 9$
Solve for $m$ .
$m = 9 - 4$ $m = 5$
The mass of Bag A is $\boxed{5 \text{ kilograms}}$ .
Define the variables.
Let $a$ be the amount of money Joey brought to school on Monday.
Amount spent = $40. Amount left =$ 60.
Formulate the equation.
$a - 40 = 60$
Solve for $a$ .
$a = 60 + 40$ $a = 100$
Joey brought \boxed{\100}$ to school on Monday.

Answer