EduNinja

[Maximum number: 7]

(a)

A minibus can be hired from Dhruv's Minibuses.

The cost is $ h per hour plus $ p per passenger.

[ 7 ]

(i)

When the minibus is hired for 3 hours with 10 passengers the cost is $ 61.

Complete the equation.

3 h+10 p=\ldots \ldots \ldots \ldots \ldots \ldots \ldots .

[ 1 ]

(ii)

When the minibus is hired for 5 hours with 8 passengers the cost is $ 80.

Write this information as an equation. =

[ 2 ]

(iii)

Solve your two simultaneous equations to find h and p. You must show all your working.

\begin{aligned} & h=\ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots . . \\ & p=\ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots . . \end{aligned}

[ 4 ]

[Maximum number: 3]

Solve the simultaneous equations.
$\begin{aligned}3x-5y&=22\\7x+10y&=8\end{aligned}$ $\begin{aligned}x&=\\y&=\end{aligned}$

$\begin{aligned}x&=4\\y&=-2\end{aligned}$

M1 for correct method to eliminate one variable.
A1 for one correct answer.
If M0 scored, SC1 for 2 values satisfying one of the original equations.

[Maximum number: 2]

Rearrange the formula to make t the subject.

w=7 t-5

t=

$\frac{w+5}{7}$
oe final answer

M1 for a correct first step: w+5=7t oe or $\frac{w}{7}=t-\frac57$ oe.

CAIE IGCSE Mathematics Core C2.5 Equations Topic Practice

Question 1

Question (a)

Question (i)

Question (ii)

Question (iii)

Question 2

Question 3