Jolene can make $x$ ornaments in $4$ hours and Fiona can make $y$ ornaments in $3$ hours. Ev

Question

Jolene can make $x$ ornaments in $4$ hours and Fiona can make $y$ ornaments in $3$ hours. Every hour, Fiona makes $3$ more ornaments than Jolene. Together, both of them can make $(2y-x+5)$ ornaments in $5$ hours. Form a pair of simultaneous equations to represent the above information and show that the equations can be simplified to $\begin{align} & 4y-3x=36 \ & 27x-4y=60 \end{align}$ Solve the simultaneous equations in (a) and hence, find the number of ornaments made by both Jolene and Fiona in $5$ hours.

Accepted Answer

(a) $4y-3x=36$, $27x-4y=60$ (b) $x=4,\ y=12$, hence $25$ ornaments

Work Rate and Productivity Using Simultaneous Equations

Work Rate and Productivity Using Simultaneous Equations

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