Plastic Knives are sold in packs of 18 for 45p. Plastic Forks are sold in packs of 15 for 41p. Jace wants to buy the same number of forks as knives. What is the least amount of money Jace will be able to spend?

430p

Step-by-step explanation:

For this, we'll find the least common multiple for 15 and 18.

=> The least common multiple for 15 and 18 is 90

Plastic Knives:

Jace will buy 90 knives.  

=> Packets = 90/18 = 5 Packets

Money for 5 Packets = 5 * 45

=> 225p

Plastic Forks:

Jace will buy 90 forks also.

=> Packets = 90/15 = 6 Packets

Money fro 6 packets = 6 * 41

=> 205p

Least Amount of Money Jace will spend = 225p+205p

=> 430p

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.