The u-drive rent-a-truck company plans to spend $10 million on 260 new vehicles. each commercial van will cost $25 comma 000 , each small truck $50 comma 000 , and each large truck $50 comma 000 . past experience shows that they need twice as many vans as small trucks. how many of each type of vehicle can they buy?

They would buy 130 vans, 65 small trucks and 65 large trucks

Explanation: Budget has been given as $10,000 and the company needs up to 260 vehicles, commercial vans($25000), small trucks ($50000) and large trucks ($50000). They need twice as many vans as small trucks which means for every small truck purchased, they would purchase two commercial vans, or ratio 2:1 for the ratio of commercial vans to small trucks. The cost of the small truck is the same as the cost of the large truck. Therefore the ratio would be 2:1:1, for the ratio of commercial vans to small trucks to large trucks.

The number of commercial vans to be purchased therefore is derived as

2/4 = x/260

(2 x 260)/4 = x

520/4 = x

130 = x

The number of vans to be purchased is 130 and this is twice the number of small trucks which means small trucks purchased would be 130 divided by 2 which equals 65, and large trucks also would be 65 making a total of 260 vehicles.

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