3. Kay and SImon bought mugs at the gift shop. Simon bought 6 more mugs than Kay. Together they bought 32 mugs.
Write an expression for each of them.
Kay: x
Simon: x + 6
Use an equation to find the number of mugs Kay bought and the number of mugs Simon bought
x+6+x=32
^combine like terms
2x+6=32-6=26
2x=26
26/2= 13
Kay bought 13 Simon bought 19
Right.
Correct! Nice work.
To find the number of mugs Kay bought and the number of mugs Simon bought, we can use the given information to set up an equation.
Let's let x represent the number of mugs Kay bought. Since Simon bought 6 more mugs than Kay, we can say that Simon bought x + 6 mugs.
Together, they bought a total of 32 mugs. So, we can set up the equation:
x + (x + 6) = 32
Now, let's solve this equation to find the values of x and x + 6.
Combining like terms, we have:
2x + 6 = 32
Subtracting 6 from both sides, we have:
2x = 26
Dividing both sides by 2, we get:
x = 13
So, Kay bought 13 mugs. To find the number of mugs Simon bought, we can substitute x back into the expression x + 6:
13 + 6 = 19
Therefore, Simon bought 19 mugs.