Question

A science teacher ordered S2278 worth of microscopes and dissection kits for the new science lab. A total of

Answer 1

Answer:

$26M + 56D = 2278$ ---- equation 1

$M = 3D$ ---- equation 2

A microscope costs S51 and a dissection kit costs S17

Step-by-step explanation:

Given

Represent microscope with M and Dissection kits with D

Cost:

$M = 3D$

$Total = 2278$

Required

Represent as an equation:

To do this, we represent the equation in terms of cost and quantity

In terms of cost, we have:

$26M + 56D = 2278$ ---- equation 1

and

$M = 3D$ ---- equation 2

Substitute 3D for M in equation 1

$26*3D + 56D = 2278$

$78D + 56D = 2278$

$134D = 2278$

Divide both sides by 134

$D = \frac{2278}{134}$

$D = 17$

Substitute 17 for D in $M = 3D$

$M = 3 * 17$

$M = 51$

Hence:

A microscope costs S51 and a dissection kit costs S17