Re: Maths Scholarship help

Hello, gazing600000!

Quote:

$\displaystyle \text{The Best Bakery sells triangular cakes at }39\cent\text{ and square buns at }23\cent\text{ each.}$

$\displaystyle \text{For her party, Helen buys a total of 40 of these cakes and buns and spends \$13.52.}$

$\displaystyle \text{How many of each did she buy?}$

Let $\displaystyle C$ = number of cakes.

. . At $\displaystyle 39\cent$ each, they cost $\displaystyle 39C$ cents.

Let $\displaystyle B$ = number of buns.

. . At $\displaystyle 23\cent$ each, they cost $\displaystyle 23B$ cents.

The total cost is $\displaystyle \$13.52 \,=\,1352\cent.$

. . $\displaystyle 39C + 23B \:=\:1352$

The total number bought is 40:

. . $\displaystyle C + B \:=\:40$

Solve the system of equations: .$\displaystyle \begin{Bmatrix}39C + 23B &=& 1352 \\ C + B &=& 40 \end{Bmatrix}$